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Finding the Fourth Proportional to 648,434.70, 972,068.85 and 423,902.70

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Solution

The fourth proportional to 648,434.70, 972,068.85 and 423,902.70 is: 635,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,434.70 : 972,068.85 = 423,902.70 : x
  2. Step 2: Convert to fraction form
    648,434.70/972,068.85 = 423,902.70/x
  3. Step 3: Cross multiply
    648,434.70x = 972,068.85 × 423,902.70
  4. Step 4: Simplify right side
    648,434.70x = 412,062,610,100.90
  5. Step 5: Solve for x
    x = 412,062,610,100.90/648,434.70
  6. Step 6: Final answer
    x = 635,472.79

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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.