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Finding the Fourth Proportional to 408,056.90, 611,647.95 and 155,239.70

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Solution

The fourth proportional to 408,056.90, 611,647.95 and 155,239.70 is: 232,693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,056.90 : 611,647.95 = 155,239.70 : x
  2. Step 2: Convert to fraction form
    408,056.90/611,647.95 = 155,239.70/x
  3. Step 3: Cross multiply
    408,056.90x = 611,647.95 × 155,239.70
  4. Step 4: Simplify right side
    408,056.90x = 94,952,044,263.62
  5. Step 5: Solve for x
    x = 94,952,044,263.62/408,056.90
  6. Step 6: Final answer
    x = 232,693.15

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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.