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Finding the Fourth Proportional to 657,333.66, 985,901.70 and 207,996.14

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Solution

The fourth proportional to 657,333.66, 985,901.70 and 207,996.14 is: 311,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,333.66 : 985,901.70 = 207,996.14 : x
  2. Step 2: Convert to fraction form
    657,333.66/985,901.70 = 207,996.14/x
  3. Step 3: Cross multiply
    657,333.66x = 985,901.70 × 207,996.14
  4. Step 4: Simplify right side
    657,333.66x = 205,063,743,089.93
  5. Step 5: Solve for x
    x = 205,063,743,089.93/657,333.66
  6. Step 6: Final answer
    x = 311,962.94

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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.