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Finding the Fourth Proportional to 507,659.69, 761,292.71 and 270,873.20

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Solution

The fourth proportional to 507,659.69, 761,292.71 and 270,873.20 is: 406,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,659.69 : 761,292.71 = 270,873.20 : x
  2. Step 2: Convert to fraction form
    507,659.69/761,292.71 = 270,873.20/x
  3. Step 3: Cross multiply
    507,659.69x = 761,292.71 × 270,873.20
  4. Step 4: Simplify right side
    507,659.69x = 206,213,791,140.01
  5. Step 5: Solve for x
    x = 206,213,791,140.01/507,659.69
  6. Step 6: Final answer
    x = 406,204.78

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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.