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Finding the Fourth Proportional to 510,070.20, 765,105.30 and 421,423.80

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Solution

The fourth proportional to 510,070.20, 765,105.30 and 421,423.80 is: 632,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,070.20 : 765,105.30 = 421,423.80 : x
  2. Step 2: Convert to fraction form
    510,070.20/765,105.30 = 421,423.80/x
  3. Step 3: Cross multiply
    510,070.20x = 765,105.30 × 421,423.80
  4. Step 4: Simplify right side
    510,070.20x = 322,433,582,926.14
  5. Step 5: Solve for x
    x = 322,433,582,926.14/510,070.20
  6. Step 6: Final answer
    x = 632,135.70

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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.