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Finding the Fourth Proportional to 312,423.60, 431,038.76 and 204,983.60

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Solution

The fourth proportional to 312,423.60, 431,038.76 and 204,983.60 is: 282,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,423.60 : 431,038.76 = 204,983.60 : x
  2. Step 2: Convert to fraction form
    312,423.60/431,038.76 = 204,983.60/x
  3. Step 3: Cross multiply
    312,423.60x = 431,038.76 × 204,983.60
  4. Step 4: Simplify right side
    312,423.60x = 88,355,876,764.34
  5. Step 5: Solve for x
    x = 88,355,876,764.34/312,423.60
  6. Step 6: Final answer
    x = 282,807.95

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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.