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Finding the Fourth Proportional to 415,882.40, 623,823.60 and 384,389.60

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Solution

The fourth proportional to 415,882.40, 623,823.60 and 384,389.60 is: 576,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,882.40 : 623,823.60 = 384,389.60 : x
  2. Step 2: Convert to fraction form
    415,882.40/623,823.60 = 384,389.60/x
  3. Step 3: Cross multiply
    415,882.40x = 623,823.60 × 384,389.60
  4. Step 4: Simplify right side
    415,882.40x = 239,791,304,074.56
  5. Step 5: Solve for x
    x = 239,791,304,074.56/415,882.40
  6. Step 6: Final answer
    x = 576,584.40

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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.