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Finding the Fourth Proportional to 472,702.59, 708,945.89 and 135,740.57

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Solution

The fourth proportional to 472,702.59, 708,945.89 and 135,740.57 is: 203,579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,702.59 : 708,945.89 = 135,740.57 : x
  2. Step 2: Convert to fraction form
    472,702.59/708,945.89 = 135,740.57/x
  3. Step 3: Cross multiply
    472,702.59x = 708,945.89 × 135,740.57
  4. Step 4: Simplify right side
    472,702.59x = 96,232,714,984.33
  5. Step 5: Solve for x
    x = 96,232,714,984.33/472,702.59
  6. Step 6: Final answer
    x = 203,579.83

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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.