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Finding the Fourth Proportional to 285,884.70, 394,510.80 and 158,572.14

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Solution

The fourth proportional to 285,884.70, 394,510.80 and 158,572.14 is: 218,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,884.70 : 394,510.80 = 158,572.14 : x
  2. Step 2: Convert to fraction form
    285,884.70/394,510.80 = 158,572.14/x
  3. Step 3: Cross multiply
    285,884.70x = 394,510.80 × 158,572.14
  4. Step 4: Simplify right side
    285,884.70x = 62,558,421,809.11
  5. Step 5: Solve for x
    x = 62,558,421,809.11/285,884.70
  6. Step 6: Final answer
    x = 218,823.96

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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.