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Finding the Fourth Proportional to 487,098, 730,005.48 and 206,267.76

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Solution

The fourth proportional to 487,098, 730,005.48 and 206,267.76 is: 309,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,098 : 730,005.48 = 206,267.76 : x
  2. Step 2: Convert to fraction form
    487,098/730,005.48 = 206,267.76/x
  3. Step 3: Cross multiply
    487,098x = 730,005.48 × 206,267.76
  4. Step 4: Simplify right side
    487,098x = 150,576,595,147.33
  5. Step 5: Solve for x
    x = 150,576,595,147.33/487,098
  6. Step 6: Final answer
    x = 309,129.98

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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.