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Finding the Fourth Proportional to 565,192, 779,964.82 and 310,543.20

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Solution

The fourth proportional to 565,192, 779,964.82 and 310,543.20 is: 428,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,192 : 779,964.82 = 310,543.20 : x
  2. Step 2: Convert to fraction form
    565,192/779,964.82 = 310,543.20/x
  3. Step 3: Cross multiply
    565,192x = 779,964.82 × 310,543.20
  4. Step 4: Simplify right side
    565,192x = 242,212,771,090.22
  5. Step 5: Solve for x
    x = 242,212,771,090.22/565,192
  6. Step 6: Final answer
    x = 428,549.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.