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Finding the Fourth Proportional to 390,491.47, 538,719.24 and 254,475.87

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Solution

The fourth proportional to 390,491.47, 538,719.24 and 254,475.87 is: 351,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,491.47 : 538,719.24 = 254,475.87 : x
  2. Step 2: Convert to fraction form
    390,491.47/538,719.24 = 254,475.87/x
  3. Step 3: Cross multiply
    390,491.47x = 538,719.24 × 254,475.87
  4. Step 4: Simplify right side
    390,491.47x = 137,091,046,218.83
  5. Step 5: Solve for x
    x = 137,091,046,218.83/390,491.47
  6. Step 6: Final answer
    x = 351,073.09

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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.