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Finding the Fourth Proportional to 285,306.30, 393,722.67 and 157,981.89

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Solution

The fourth proportional to 285,306.30, 393,722.67 and 157,981.89 is: 218,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,306.30 : 393,722.67 = 157,981.89 : x
  2. Step 2: Convert to fraction form
    285,306.30/393,722.67 = 157,981.89/x
  3. Step 3: Cross multiply
    285,306.30x = 393,722.67 × 157,981.89
  4. Step 4: Simplify right side
    285,306.30x = 62,201,051,542.45
  5. Step 5: Solve for x
    x = 62,201,051,542.45/285,306.30
  6. Step 6: Final answer
    x = 218,014.99

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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.