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Finding the Fourth Proportional to 407,741.40, 611,612.10 and 248,309.10

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Solution

The fourth proportional to 407,741.40, 611,612.10 and 248,309.10 is: 372,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,741.40 : 611,612.10 = 248,309.10 : x
  2. Step 2: Convert to fraction form
    407,741.40/611,612.10 = 248,309.10/x
  3. Step 3: Cross multiply
    407,741.40x = 611,612.10 × 248,309.10
  4. Step 4: Simplify right side
    407,741.40x = 151,868,850,100.11
  5. Step 5: Solve for x
    x = 151,868,850,100.11/407,741.40
  6. Step 6: Final answer
    x = 372,463.65

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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.