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Finding the Fourth Proportional to 389,429.60, 584,047.20 and 149,491.40

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Solution

The fourth proportional to 389,429.60, 584,047.20 and 149,491.40 is: 224,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,429.60 : 584,047.20 = 149,491.40 : x
  2. Step 2: Convert to fraction form
    389,429.60/584,047.20 = 149,491.40/x
  3. Step 3: Cross multiply
    389,429.60x = 584,047.20 × 149,491.40
  4. Step 4: Simplify right side
    389,429.60x = 87,310,033,594.08
  5. Step 5: Solve for x
    x = 87,310,033,594.08/389,429.60
  6. Step 6: Final answer
    x = 224,199.79

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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.