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Finding the Fourth Proportional to 284,423.40, 426,635.10 and 159,748.20

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Solution

The fourth proportional to 284,423.40, 426,635.10 and 159,748.20 is: 239,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,423.40 : 426,635.10 = 159,748.20 : x
  2. Step 2: Convert to fraction form
    284,423.40/426,635.10 = 159,748.20/x
  3. Step 3: Cross multiply
    284,423.40x = 426,635.10 × 159,748.20
  4. Step 4: Simplify right side
    284,423.40x = 68,154,189,281.82
  5. Step 5: Solve for x
    x = 68,154,189,281.82/284,423.40
  6. Step 6: Final answer
    x = 239,622.30

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1.5x scale

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.