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Finding the Fourth Proportional to 410,762.48, 615,592.95 and 319,687.86

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Solution

The fourth proportional to 410,762.48, 615,592.95 and 319,687.86 is: 479,103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,762.48 : 615,592.95 = 319,687.86 : x
  2. Step 2: Convert to fraction form
    410,762.48/615,592.95 = 319,687.86/x
  3. Step 3: Cross multiply
    410,762.48x = 615,592.95 × 319,687.86
  4. Step 4: Simplify right side
    410,762.48x = 196,797,592,816.59
  5. Step 5: Solve for x
    x = 196,797,592,816.59/410,762.48
  6. Step 6: Final answer
    x = 479,103.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.