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Finding the Fourth Proportional to 285,263.43, 393,685.76 and 157,950.87

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Solution

The fourth proportional to 285,263.43, 393,685.76 and 157,950.87 is: 217,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,263.43 : 393,685.76 = 157,950.87 : x
  2. Step 2: Convert to fraction form
    285,263.43/393,685.76 = 157,950.87/x
  3. Step 3: Cross multiply
    285,263.43x = 393,685.76 × 157,950.87
  4. Step 4: Simplify right side
    285,263.43x = 62,183,007,508.86
  5. Step 5: Solve for x
    x = 62,183,007,508.86/285,263.43
  6. Step 6: Final answer
    x = 217,984.50

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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.