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Finding the Fourth Proportional to 429,808.86, 644,718.15 and 130,287.06

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Solution

The fourth proportional to 429,808.86, 644,718.15 and 130,287.06 is: 195,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,808.86 : 644,718.15 = 130,287.06 : x
  2. Step 2: Convert to fraction form
    429,808.86/644,718.15 = 130,287.06/x
  3. Step 3: Cross multiply
    429,808.86x = 644,718.15 × 130,287.06
  4. Step 4: Simplify right side
    429,808.86x = 83,998,432,292.14
  5. Step 5: Solve for x
    x = 83,998,432,292.14/429,808.86
  6. Step 6: Final answer
    x = 195,432.06

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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.