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Finding the Fourth Proportional to 472,271.40, 708,407.10 and 156,738.60

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Solution

The fourth proportional to 472,271.40, 708,407.10 and 156,738.60 is: 235,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,271.40 : 708,407.10 = 156,738.60 : x
  2. Step 2: Convert to fraction form
    472,271.40/708,407.10 = 156,738.60/x
  3. Step 3: Cross multiply
    472,271.40x = 708,407.10 × 156,738.60
  4. Step 4: Simplify right side
    472,271.40x = 111,034,737,084.06
  5. Step 5: Solve for x
    x = 111,034,737,084.06/472,271.40
  6. Step 6: Final answer
    x = 235,107.90

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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.