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Finding the Fourth Proportional to 284,436.82, 392,519.42 and 155,373.72

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Solution

The fourth proportional to 284,436.82, 392,519.42 and 155,373.72 is: 214,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,436.82 : 392,519.42 = 155,373.72 : x
  2. Step 2: Convert to fraction form
    284,436.82/392,519.42 = 155,373.72/x
  3. Step 3: Cross multiply
    284,436.82x = 392,519.42 × 155,373.72
  4. Step 4: Simplify right side
    284,436.82x = 60,987,199,718.18
  5. Step 5: Solve for x
    x = 60,987,199,718.18/284,436.82
  6. Step 6: Final answer
    x = 214,413.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.