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Finding the Fourth Proportional to 410,712.60, 615,923.10 and 284,352.60

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Solution

The fourth proportional to 410,712.60, 615,923.10 and 284,352.60 is: 426,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,712.60 : 615,923.10 = 284,352.60 : x
  2. Step 2: Convert to fraction form
    410,712.60/615,923.10 = 284,352.60/x
  3. Step 3: Cross multiply
    410,712.60x = 615,923.10 × 284,352.60
  4. Step 4: Simplify right side
    410,712.60x = 175,139,334,885.06
  5. Step 5: Solve for x
    x = 175,139,334,885.06/410,712.60
  6. Step 6: Final answer
    x = 426,427.96

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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.