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Finding the Fourth Proportional to 522,889.30, 783,167.55 and 429,577.30

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Solution

The fourth proportional to 522,889.30, 783,167.55 and 429,577.30 is: 643,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,889.30 : 783,167.55 = 429,577.30 : x
  2. Step 2: Convert to fraction form
    522,889.30/783,167.55 = 429,577.30/x
  3. Step 3: Cross multiply
    522,889.30x = 783,167.55 × 429,577.30
  4. Step 4: Simplify right side
    522,889.30x = 336,431,001,576.62
  5. Step 5: Solve for x
    x = 336,431,001,576.62/522,889.30
  6. Step 6: Final answer
    x = 643,407.70

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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.