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Finding the Fourth Proportional to 657,909.95, 986,900.15 and 208,664.91

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Solution

The fourth proportional to 657,909.95, 986,900.15 and 208,664.91 is: 313,008.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,909.95 : 986,900.15 = 208,664.91 : x
  2. Step 2: Convert to fraction form
    657,909.95/986,900.15 = 208,664.91/x
  3. Step 3: Cross multiply
    657,909.95x = 986,900.15 × 208,664.91
  4. Step 4: Simplify right side
    657,909.95x = 205,931,431,500.40
  5. Step 5: Solve for x
    x = 205,931,431,500.40/657,909.95
  6. Step 6: Final answer
    x = 313,008.54

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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.