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Finding the Fourth Proportional to 284,217.44, 392,222.80 and 156,890.30

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Solution

The fourth proportional to 284,217.44, 392,222.80 and 156,890.30 is: 216,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,217.44 : 392,222.80 = 156,890.30 : x
  2. Step 2: Convert to fraction form
    284,217.44/392,222.80 = 156,890.30/x
  3. Step 3: Cross multiply
    284,217.44x = 392,222.80 × 156,890.30
  4. Step 4: Simplify right side
    284,217.44x = 61,535,952,758.84
  5. Step 5: Solve for x
    x = 61,535,952,758.84/284,217.44
  6. Step 6: Final answer
    x = 216,510.12

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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.