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Finding the Fourth Proportional to 285,760.40, 394,373.49 and 158,477

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Solution

The fourth proportional to 285,760.40, 394,373.49 and 158,477 is: 218,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,760.40 : 394,373.49 = 158,477 : x
  2. Step 2: Convert to fraction form
    285,760.40/394,373.49 = 158,477/x
  3. Step 3: Cross multiply
    285,760.40x = 394,373.49 × 158,477
  4. Step 4: Simplify right side
    285,760.40x = 62,499,127,574.73
  5. Step 5: Solve for x
    x = 62,499,127,574.73/285,760.40
  6. Step 6: Final answer
    x = 218,711.65

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1.5x scale

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.