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Finding the Fourth Proportional to 657,989.76, 987,020.70 and 208,678.10

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Solution

The fourth proportional to 657,989.76, 987,020.70 and 208,678.10 is: 313,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,989.76 : 987,020.70 = 208,678.10 : x
  2. Step 2: Convert to fraction form
    657,989.76/987,020.70 = 208,678.10/x
  3. Step 3: Cross multiply
    657,989.76x = 987,020.70 × 208,678.10
  4. Step 4: Simplify right side
    657,989.76x = 205,969,604,336.67
  5. Step 5: Solve for x
    x = 205,969,604,336.67/657,989.76
  6. Step 6: Final answer
    x = 313,028.59

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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.