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Finding the Fourth Proportional to 288,134.60, 431,327.10 and 256,641.80

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Solution

The fourth proportional to 288,134.60, 431,327.10 and 256,641.80 is: 384,183.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,134.60 : 431,327.10 = 256,641.80 : x
  2. Step 2: Convert to fraction form
    288,134.60/431,327.10 = 256,641.80/x
  3. Step 3: Cross multiply
    288,134.60x = 431,327.10 × 256,641.80
  4. Step 4: Simplify right side
    288,134.60x = 110,696,563,332.78
  5. Step 5: Solve for x
    x = 110,696,563,332.78/288,134.60
  6. Step 6: Final answer
    x = 384,183.51

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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.