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Finding the Fourth Proportional to 513,070.80, 768,731.40 and 423,841.20

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Solution

The fourth proportional to 513,070.80, 768,731.40 and 423,841.20 is: 635,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,070.80 : 768,731.40 = 423,841.20 : x
  2. Step 2: Convert to fraction form
    513,070.80/768,731.40 = 423,841.20/x
  3. Step 3: Cross multiply
    513,070.80x = 768,731.40 × 423,841.20
  4. Step 4: Simplify right side
    513,070.80x = 325,820,039,053.68
  5. Step 5: Solve for x
    x = 325,820,039,053.68/513,070.80
  6. Step 6: Final answer
    x = 635,039.14

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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.