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Finding the Fourth Proportional to 657,755.76, 907,702.92 and 355,949.76

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Solution

The fourth proportional to 657,755.76, 907,702.92 and 355,949.76 is: 491,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,755.76 : 907,702.92 = 355,949.76 : x
  2. Step 2: Convert to fraction form
    657,755.76/907,702.92 = 355,949.76/x
  3. Step 3: Cross multiply
    657,755.76x = 907,702.92 × 355,949.76
  4. Step 4: Simplify right side
    657,755.76x = 323,096,636,525.30
  5. Step 5: Solve for x
    x = 323,096,636,525.30/657,755.76
  6. Step 6: Final answer
    x = 491,210.65

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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.