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Finding the Fourth Proportional to 284,242.70, 426,289.80 and 84,509.30

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Solution

The fourth proportional to 284,242.70, 426,289.80 and 84,509.30 is: 126,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,242.70 : 426,289.80 = 84,509.30 : x
  2. Step 2: Convert to fraction form
    284,242.70/426,289.80 = 84,509.30/x
  3. Step 3: Cross multiply
    284,242.70x = 426,289.80 × 84,509.30
  4. Step 4: Simplify right side
    284,242.70x = 36,025,452,595.14
  5. Step 5: Solve for x
    x = 36,025,452,595.14/284,242.70
  6. Step 6: Final answer
    x = 126,741.87

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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.