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Finding the Fourth Proportional to 284,214.72, 392,219.46 and 156,890.46

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Solution

The fourth proportional to 284,214.72, 392,219.46 and 156,890.46 is: 216,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,214.72 : 392,219.46 = 156,890.46 : x
  2. Step 2: Convert to fraction form
    284,214.72/392,219.46 = 156,890.46/x
  3. Step 3: Cross multiply
    284,214.72x = 392,219.46 × 156,890.46
  4. Step 4: Simplify right side
    284,214.72x = 61,535,491,500.35
  5. Step 5: Solve for x
    x = 61,535,491,500.35/284,214.72
  6. Step 6: Final answer
    x = 216,510.57

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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.