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Finding the Fourth Proportional to 472,225.86, 708,129.80 and 135,189.72

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Solution

The fourth proportional to 472,225.86, 708,129.80 and 135,189.72 is: 202,724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,225.86 : 708,129.80 = 135,189.72 : x
  2. Step 2: Convert to fraction form
    472,225.86/708,129.80 = 135,189.72/x
  3. Step 3: Cross multiply
    472,225.86x = 708,129.80 × 135,189.72
  4. Step 4: Simplify right side
    472,225.86x = 95,731,869,723.63
  5. Step 5: Solve for x
    x = 95,731,869,723.63/472,225.86
  6. Step 6: Final answer
    x = 202,724.75

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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.