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Finding the Fourth Proportional to 510,913.68, 705,053.88 and 284,560.80

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Solution

The fourth proportional to 510,913.68, 705,053.88 and 284,560.80 is: 392,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,913.68 : 705,053.88 = 284,560.80 : x
  2. Step 2: Convert to fraction form
    510,913.68/705,053.88 = 284,560.80/x
  3. Step 3: Cross multiply
    510,913.68x = 705,053.88 × 284,560.80
  4. Step 4: Simplify right side
    510,913.68x = 200,630,696,135.90
  5. Step 5: Solve for x
    x = 200,630,696,135.90/510,913.68
  6. Step 6: Final answer
    x = 392,690.01

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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.