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Finding the Fourth Proportional to 408,915.80, 613,604.10 and 159,565.40

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Solution

The fourth proportional to 408,915.80, 613,604.10 and 159,565.40 is: 239,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,915.80 : 613,604.10 = 159,565.40 : x
  2. Step 2: Convert to fraction form
    408,915.80/613,604.10 = 159,565.40/x
  3. Step 3: Cross multiply
    408,915.80x = 613,604.10 × 159,565.40
  4. Step 4: Simplify right side
    408,915.80x = 97,909,983,658.14
  5. Step 5: Solve for x
    x = 97,909,983,658.14/408,915.80
  6. Step 6: Final answer
    x = 239,438.01

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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.