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Finding the Fourth Proportional to 487,265.10, 730,897.65 and 206,745.90

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Solution

The fourth proportional to 487,265.10, 730,897.65 and 206,745.90 is: 310,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,265.10 : 730,897.65 = 206,745.90 : x
  2. Step 2: Convert to fraction form
    487,265.10/730,897.65 = 206,745.90/x
  3. Step 3: Cross multiply
    487,265.10x = 730,897.65 × 206,745.90
  4. Step 4: Simplify right side
    487,265.10x = 151,110,092,457.14
  5. Step 5: Solve for x
    x = 151,110,092,457.14/487,265.10
  6. Step 6: Final answer
    x = 310,118.85

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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.