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Finding the Fourth Proportional to 390,459.48, 538,789.68 and 220,693.20

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Solution

The fourth proportional to 390,459.48, 538,789.68 and 220,693.20 is: 304,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,459.48 : 538,789.68 = 220,693.20 : x
  2. Step 2: Convert to fraction form
    390,459.48/538,789.68 = 220,693.20/x
  3. Step 3: Cross multiply
    390,459.48x = 538,789.68 × 220,693.20
  4. Step 4: Simplify right side
    390,459.48x = 118,907,218,606.18
  5. Step 5: Solve for x
    x = 118,907,218,606.18/390,459.48
  6. Step 6: Final answer
    x = 304,531.52

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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.