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Finding the Fourth Proportional to 429,924.69, 644,888.52 and 130,407.84

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Solution

The fourth proportional to 429,924.69, 644,888.52 and 130,407.84 is: 195,612.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,924.69 : 644,888.52 = 130,407.84 : x
  2. Step 2: Convert to fraction form
    429,924.69/644,888.52 = 130,407.84/x
  3. Step 3: Cross multiply
    429,924.69x = 644,888.52 × 130,407.84
  4. Step 4: Simplify right side
    429,924.69x = 84,098,518,934.00
  5. Step 5: Solve for x
    x = 84,098,518,934.00/429,924.69
  6. Step 6: Final answer
    x = 195,612.21

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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.