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Finding the Fourth Proportional to 284,099.68, 392,079.72 and 163,283.14

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Solution

The fourth proportional to 284,099.68, 392,079.72 and 163,283.14 is: 225,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,099.68 : 392,079.72 = 163,283.14 : x
  2. Step 2: Convert to fraction form
    284,099.68/392,079.72 = 163,283.14/x
  3. Step 3: Cross multiply
    284,099.68x = 392,079.72 × 163,283.14
  4. Step 4: Simplify right side
    284,099.68x = 64,020,007,811.92
  5. Step 5: Solve for x
    x = 64,020,007,811.92/284,099.68
  6. Step 6: Final answer
    x = 225,343.47

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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.