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Finding the Fourth Proportional to 472,405.80, 708,155.10 and 156,700.20

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Solution

The fourth proportional to 472,405.80, 708,155.10 and 156,700.20 is: 234,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,405.80 : 708,155.10 = 156,700.20 : x
  2. Step 2: Convert to fraction form
    472,405.80/708,155.10 = 156,700.20/x
  3. Step 3: Cross multiply
    472,405.80x = 708,155.10 × 156,700.20
  4. Step 4: Simplify right side
    472,405.80x = 110,968,045,801.02
  5. Step 5: Solve for x
    x = 110,968,045,801.02/472,405.80
  6. Step 6: Final answer
    x = 234,899.84

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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.