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Finding the Fourth Proportional to 270,807.78, 406,276.56 and 83,819.28

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Solution

The fourth proportional to 270,807.78, 406,276.56 and 83,819.28 is: 125,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,807.78 : 406,276.56 = 83,819.28 : x
  2. Step 2: Convert to fraction form
    270,807.78/406,276.56 = 83,819.28/x
  3. Step 3: Cross multiply
    270,807.78x = 406,276.56 × 83,819.28
  4. Step 4: Simplify right side
    270,807.78x = 34,053,808,740.08
  5. Step 5: Solve for x
    x = 34,053,808,740.08/270,807.78
  6. Step 6: Final answer
    x = 125,749.00

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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.