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Finding the Fourth Proportional to 657,872.28, 907,580.70 and 386,023.32

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Solution

The fourth proportional to 657,872.28, 907,580.70 and 386,023.32 is: 532,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,872.28 : 907,580.70 = 386,023.32 : x
  2. Step 2: Convert to fraction form
    657,872.28/907,580.70 = 386,023.32/x
  3. Step 3: Cross multiply
    657,872.28x = 907,580.70 × 386,023.32
  4. Step 4: Simplify right side
    657,872.28x = 350,347,314,981.92
  5. Step 5: Solve for x
    x = 350,347,314,981.92/657,872.28
  6. Step 6: Final answer
    x = 532,546.10

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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.