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Finding the Fourth Proportional to 284,210.48, 426,315.72 and 178,767.92

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Solution

The fourth proportional to 284,210.48, 426,315.72 and 178,767.92 is: 268,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,210.48 : 426,315.72 = 178,767.92 : x
  2. Step 2: Convert to fraction form
    284,210.48/426,315.72 = 178,767.92/x
  3. Step 3: Cross multiply
    284,210.48x = 426,315.72 × 178,767.92
  4. Step 4: Simplify right side
    284,210.48x = 76,211,574,527.70
  5. Step 5: Solve for x
    x = 76,211,574,527.70/284,210.48
  6. Step 6: Final answer
    x = 268,151.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.