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Finding the Fourth Proportional to 278,580, 384,436.62 and 157,718.16

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Solution

The fourth proportional to 278,580, 384,436.62 and 157,718.16 is: 217,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,580 : 384,436.62 = 157,718.16 : x
  2. Step 2: Convert to fraction form
    278,580/384,436.62 = 157,718.16/x
  3. Step 3: Cross multiply
    278,580x = 384,436.62 × 157,718.16
  4. Step 4: Simplify right side
    278,580x = 60,632,636,343.02
  5. Step 5: Solve for x
    x = 60,632,636,343.02/278,580
  6. Step 6: Final answer
    x = 217,648.92

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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.