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Finding the Fourth Proportional to 408,087.40, 611,693.70 and 155,270.20

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Solution

The fourth proportional to 408,087.40, 611,693.70 and 155,270.20 is: 232,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,087.40 : 611,693.70 = 155,270.20 : x
  2. Step 2: Convert to fraction form
    408,087.40/611,693.70 = 155,270.20/x
  3. Step 3: Cross multiply
    408,087.40x = 611,693.70 × 155,270.20
  4. Step 4: Simplify right side
    408,087.40x = 94,977,803,137.74
  5. Step 5: Solve for x
    x = 94,977,803,137.74/408,087.40
  6. Step 6: Final answer
    x = 232,738.88

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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.