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Finding the Fourth Proportional to 472,495.80, 708,290.10 and 156,790.20

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Solution

The fourth proportional to 472,495.80, 708,290.10 and 156,790.20 is: 235,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,495.80 : 708,290.10 = 156,790.20 : x
  2. Step 2: Convert to fraction form
    472,495.80/708,290.10 = 156,790.20/x
  3. Step 3: Cross multiply
    472,495.80x = 708,290.10 × 156,790.20
  4. Step 4: Simplify right side
    472,495.80x = 111,052,946,437.02
  5. Step 5: Solve for x
    x = 111,052,946,437.02/472,495.80
  6. Step 6: Final answer
    x = 235,034.78

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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.