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Finding the Fourth Proportional to 285,186.66, 393,565.80 and 157,870.45

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Solution

The fourth proportional to 285,186.66, 393,565.80 and 157,870.45 is: 217,865.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,186.66 : 393,565.80 = 157,870.45 : x
  2. Step 2: Convert to fraction form
    285,186.66/393,565.80 = 157,870.45/x
  3. Step 3: Cross multiply
    285,186.66x = 393,565.80 × 157,870.45
  4. Step 4: Simplify right side
    285,186.66x = 62,132,411,034.58
  5. Step 5: Solve for x
    x = 62,132,411,034.58/285,186.66
  6. Step 6: Final answer
    x = 217,865.77

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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.