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Finding the Fourth Proportional to 390,291.78, 538,543.17 and 220,463.94

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Solution

The fourth proportional to 390,291.78, 538,543.17 and 220,463.94 is: 304,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,291.78 : 538,543.17 = 220,463.94 : x
  2. Step 2: Convert to fraction form
    390,291.78/538,543.17 = 220,463.94/x
  3. Step 3: Cross multiply
    390,291.78x = 538,543.17 × 220,463.94
  4. Step 4: Simplify right side
    390,291.78x = 118,729,349,118.29
  5. Step 5: Solve for x
    x = 118,729,349,118.29/390,291.78
  6. Step 6: Final answer
    x = 304,206.64

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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.