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Finding the Fourth Proportional to 432,013.70, 646,886.55 and 304,967.90

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Solution

The fourth proportional to 432,013.70, 646,886.55 and 304,967.90 is: 456,651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,013.70 : 646,886.55 = 304,967.90 : x
  2. Step 2: Convert to fraction form
    432,013.70/646,886.55 = 304,967.90/x
  3. Step 3: Cross multiply
    432,013.70x = 646,886.55 × 304,967.90
  4. Step 4: Simplify right side
    432,013.70x = 197,279,632,691.75
  5. Step 5: Solve for x
    x = 197,279,632,691.75/432,013.70
  6. Step 6: Final answer
    x = 456,651.33

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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.