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Finding the Fourth Proportional to 657,910.95, 986,901.65 and 208,665.91

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Solution

The fourth proportional to 657,910.95, 986,901.65 and 208,665.91 is: 313,010.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,910.95 : 986,901.65 = 208,665.91 : x
  2. Step 2: Convert to fraction form
    657,910.95/986,901.65 = 208,665.91/x
  3. Step 3: Cross multiply
    657,910.95x = 986,901.65 × 208,665.91
  4. Step 4: Simplify right side
    657,910.95x = 205,932,730,877.75
  5. Step 5: Solve for x
    x = 205,932,730,877.75/657,910.95
  6. Step 6: Final answer
    x = 313,010.04

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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.