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Finding the Fourth Proportional to 657,672.06, 986,542.11 and 208,440.66

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Solution

The fourth proportional to 657,672.06, 986,542.11 and 208,440.66 is: 312,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,672.06 : 986,542.11 = 208,440.66 : x
  2. Step 2: Convert to fraction form
    657,672.06/986,542.11 = 208,440.66/x
  3. Step 3: Cross multiply
    657,672.06x = 986,542.11 × 208,440.66
  4. Step 4: Simplify right side
    657,672.06x = 205,635,488,526.19
  5. Step 5: Solve for x
    x = 205,635,488,526.19/657,672.06
  6. Step 6: Final answer
    x = 312,671.77

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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.