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Finding the Fourth Proportional to 284,745.61, 392,932.06 and 157,413.61

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Solution

The fourth proportional to 284,745.61, 392,932.06 and 157,413.61 is: 217,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,745.61 : 392,932.06 = 157,413.61 : x
  2. Step 2: Convert to fraction form
    284,745.61/392,932.06 = 157,413.61/x
  3. Step 3: Cross multiply
    284,745.61x = 392,932.06 × 157,413.61
  4. Step 4: Simplify right side
    284,745.61x = 61,852,854,049.34
  5. Step 5: Solve for x
    x = 61,852,854,049.34/284,745.61
  6. Step 6: Final answer
    x = 217,221.45

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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.