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Finding the Fourth Proportional to 284,909.79, 426,641.29 and 170,985.89

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Solution

The fourth proportional to 284,909.79, 426,641.29 and 170,985.89 is: 256,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,909.79 : 426,641.29 = 170,985.89 : x
  2. Step 2: Convert to fraction form
    284,909.79/426,641.29 = 170,985.89/x
  3. Step 3: Cross multiply
    284,909.79x = 426,641.29 × 170,985.89
  4. Step 4: Simplify right side
    284,909.79x = 72,949,638,120.73
  5. Step 5: Solve for x
    x = 72,949,638,120.73/284,909.79
  6. Step 6: Final answer
    x = 256,044.69

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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.