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Finding the Fourth Proportional to 551,423.60, 826,098.60 and 284,274.80

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Solution

The fourth proportional to 551,423.60, 826,098.60 and 284,274.80 is: 425,877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,423.60 : 826,098.60 = 284,274.80 : x
  2. Step 2: Convert to fraction form
    551,423.60/826,098.60 = 284,274.80/x
  3. Step 3: Cross multiply
    551,423.60x = 826,098.60 × 284,274.80
  4. Step 4: Simplify right side
    551,423.60x = 234,839,014,295.28
  5. Step 5: Solve for x
    x = 234,839,014,295.28/551,423.60
  6. Step 6: Final answer
    x = 425,877.70

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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.