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Finding the Fourth Proportional to 657,830.34, 907,805.88 and 356,024.34

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Solution

The fourth proportional to 657,830.34, 907,805.88 and 356,024.34 is: 491,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,830.34 : 907,805.88 = 356,024.34 : x
  2. Step 2: Convert to fraction form
    657,830.34/907,805.88 = 356,024.34/x
  3. Step 3: Cross multiply
    657,830.34x = 907,805.88 × 356,024.34
  4. Step 4: Simplify right side
    657,830.34x = 323,200,989,275.12
  5. Step 5: Solve for x
    x = 323,200,989,275.12/657,830.34
  6. Step 6: Final answer
    x = 491,313.60

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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.