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Finding the Fourth Proportional to 526,915.67, 790,372.33 and 407,146.78

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Solution

The fourth proportional to 526,915.67, 790,372.33 and 407,146.78 is: 610,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,915.67 : 790,372.33 = 407,146.78 : x
  2. Step 2: Convert to fraction form
    526,915.67/790,372.33 = 407,146.78/x
  3. Step 3: Cross multiply
    526,915.67x = 790,372.33 × 407,146.78
  4. Step 4: Simplify right side
    526,915.67x = 321,797,545,208.74
  5. Step 5: Solve for x
    x = 321,797,545,208.74/526,915.67
  6. Step 6: Final answer
    x = 610,719.25

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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.