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Finding the Fourth Proportional to 390,462.48, 538,793.82 and 220,696.20

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Solution

The fourth proportional to 390,462.48, 538,793.82 and 220,696.20 is: 304,535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,462.48 : 538,793.82 = 220,696.20 : x
  2. Step 2: Convert to fraction form
    390,462.48/538,793.82 = 220,696.20/x
  3. Step 3: Cross multiply
    390,462.48x = 538,793.82 × 220,696.20
  4. Step 4: Simplify right side
    390,462.48x = 118,909,748,657.48
  5. Step 5: Solve for x
    x = 118,909,748,657.48/390,462.48
  6. Step 6: Final answer
    x = 304,535.66

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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.