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Finding the Fourth Proportional to 429,578.30, 644,484.08 and 130,068.92

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Solution

The fourth proportional to 429,578.30, 644,484.08 and 130,068.92 is: 195,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,578.30 : 644,484.08 = 130,068.92 : x
  2. Step 2: Convert to fraction form
    429,578.30/644,484.08 = 130,068.92/x
  3. Step 3: Cross multiply
    429,578.30x = 644,484.08 × 130,068.92
  4. Step 4: Simplify right side
    429,578.30x = 83,827,345,345.55
  5. Step 5: Solve for x
    x = 83,827,345,345.55/429,578.30
  6. Step 6: Final answer
    x = 195,138.69

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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.