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Finding the Fourth Proportional to 643,741.98, 965,612.94 and 343,312.38

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Solution

The fourth proportional to 643,741.98, 965,612.94 and 343,312.38 is: 514,968.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,741.98 : 965,612.94 = 343,312.38 : x
  2. Step 2: Convert to fraction form
    643,741.98/965,612.94 = 343,312.38/x
  3. Step 3: Cross multiply
    643,741.98x = 965,612.94 × 343,312.38
  4. Step 4: Simplify right side
    643,741.98x = 331,506,876,590.20
  5. Step 5: Solve for x
    x = 331,506,876,590.20/643,741.98
  6. Step 6: Final answer
    x = 514,968.55

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.