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Finding the Fourth Proportional to 429,565.26, 592,864.74 and 309,105.30

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Solution

The fourth proportional to 429,565.26, 592,864.74 and 309,105.30 is: 426,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,565.26 : 592,864.74 = 309,105.30 : x
  2. Step 2: Convert to fraction form
    429,565.26/592,864.74 = 309,105.30/x
  3. Step 3: Cross multiply
    429,565.26x = 592,864.74 × 309,105.30
  4. Step 4: Simplify right side
    429,565.26x = 183,257,633,317.12
  5. Step 5: Solve for x
    x = 183,257,633,317.12/429,565.26
  6. Step 6: Final answer
    x = 426,611.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.