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Finding the Fourth Proportional to 410,822.40, 615,542.40 and 385,939.20

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Solution

The fourth proportional to 410,822.40, 615,542.40 and 385,939.20 is: 578,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,822.40 : 615,542.40 = 385,939.20 : x
  2. Step 2: Convert to fraction form
    410,822.40/615,542.40 = 385,939.20/x
  3. Step 3: Cross multiply
    410,822.40x = 615,542.40 × 385,939.20
  4. Step 4: Simplify right side
    410,822.40x = 237,561,941,422.08
  5. Step 5: Solve for x
    x = 237,561,941,422.08/410,822.40
  6. Step 6: Final answer
    x = 578,259.47

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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.