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Finding the Fourth Proportional to 284,745.12, 392,931.37 and 157,413.12

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Solution

The fourth proportional to 284,745.12, 392,931.37 and 157,413.12 is: 217,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,745.12 : 392,931.37 = 157,413.12 : x
  2. Step 2: Convert to fraction form
    284,745.12/392,931.37 = 157,413.12/x
  3. Step 3: Cross multiply
    284,745.12x = 392,931.37 × 157,413.12
  4. Step 4: Simplify right side
    284,745.12x = 61,852,552,897.57
  5. Step 5: Solve for x
    x = 61,852,552,897.57/284,745.12
  6. Step 6: Final answer
    x = 217,220.77

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1.5x scale

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.