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Finding the Fourth Proportional to 657,342, 907,132.05 and 355,536

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Solution

The fourth proportional to 657,342, 907,132.05 and 355,536 is: 490,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,342 : 907,132.05 = 355,536 : x
  2. Step 2: Convert to fraction form
    657,342/907,132.05 = 355,536/x
  3. Step 3: Cross multiply
    657,342x = 907,132.05 × 355,536
  4. Step 4: Simplify right side
    657,342x = 322,518,100,528.80
  5. Step 5: Solve for x
    x = 322,518,100,528.80/657,342
  6. Step 6: Final answer
    x = 490,639.73

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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.