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Finding the Fourth Proportional to 284,413.82, 392,493.47 and 157,091.54

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Solution

The fourth proportional to 284,413.82, 392,493.47 and 157,091.54 is: 216,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,413.82 : 392,493.47 = 157,091.54 : x
  2. Step 2: Convert to fraction form
    284,413.82/392,493.47 = 157,091.54/x
  3. Step 3: Cross multiply
    284,413.82x = 392,493.47 × 157,091.54
  4. Step 4: Simplify right side
    284,413.82x = 61,657,400,894.32
  5. Step 5: Solve for x
    x = 61,657,400,894.32/284,413.82
  6. Step 6: Final answer
    x = 216,787.64

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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.