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Finding the Fourth Proportional to 390,263.52, 538,613.16 and 220,494

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Solution

The fourth proportional to 390,263.52, 538,613.16 and 220,494 is: 304,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,263.52 : 538,613.16 = 220,494 : x
  2. Step 2: Convert to fraction form
    390,263.52/538,613.16 = 220,494/x
  3. Step 3: Cross multiply
    390,263.52x = 538,613.16 × 220,494
  4. Step 4: Simplify right side
    390,263.52x = 118,760,970,101.04
  5. Step 5: Solve for x
    x = 118,760,970,101.04/390,263.52
  6. Step 6: Final answer
    x = 304,309.69

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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.