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Finding the Fourth Proportional to 407,894.40, 611,737.92 and 127,440

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Solution

The fourth proportional to 407,894.40, 611,737.92 and 127,440 is: 191,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,894.40 : 611,737.92 = 127,440 : x
  2. Step 2: Convert to fraction form
    407,894.40/611,737.92 = 127,440/x
  3. Step 3: Cross multiply
    407,894.40x = 611,737.92 × 127,440
  4. Step 4: Simplify right side
    407,894.40x = 77,959,880,524.80
  5. Step 5: Solve for x
    x = 77,959,880,524.80/407,894.40
  6. Step 6: Final answer
    x = 191,127.61

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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.