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Finding the Fourth Proportional to 472,005.10, 707,745.18 and 156,289.78

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Solution

The fourth proportional to 472,005.10, 707,745.18 and 156,289.78 is: 234,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,005.10 : 707,745.18 = 156,289.78 : x
  2. Step 2: Convert to fraction form
    472,005.10/707,745.18 = 156,289.78/x
  3. Step 3: Cross multiply
    472,005.10x = 707,745.18 × 156,289.78
  4. Step 4: Simplify right side
    472,005.10x = 110,613,338,478.26
  5. Step 5: Solve for x
    x = 110,613,338,478.26/472,005.10
  6. Step 6: Final answer
    x = 234,347.76

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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.