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Finding the Fourth Proportional to 284,875.74, 393,121.80 and 157,548.60

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Solution

The fourth proportional to 284,875.74, 393,121.80 and 157,548.60 is: 217,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,875.74 : 393,121.80 = 157,548.60 : x
  2. Step 2: Convert to fraction form
    284,875.74/393,121.80 = 157,548.60/x
  3. Step 3: Cross multiply
    284,875.74x = 393,121.80 × 157,548.60
  4. Step 4: Simplify right side
    284,875.74x = 61,935,789,219.48
  5. Step 5: Solve for x
    x = 61,935,789,219.48/284,875.74
  6. Step 6: Final answer
    x = 217,413.35

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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.