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Finding the Fourth Proportional to 413,915.40, 620,873.10 and 361,427.40

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Solution

The fourth proportional to 413,915.40, 620,873.10 and 361,427.40 is: 542,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,915.40 : 620,873.10 = 361,427.40 : x
  2. Step 2: Convert to fraction form
    413,915.40/620,873.10 = 361,427.40/x
  3. Step 3: Cross multiply
    413,915.40x = 620,873.10 × 361,427.40
  4. Step 4: Simplify right side
    413,915.40x = 224,400,550,262.94
  5. Step 5: Solve for x
    x = 224,400,550,262.94/413,915.40
  6. Step 6: Final answer
    x = 542,141.10

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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.