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Finding the Fourth Proportional to 286,885.20, 430,327.80 and 172,723.80

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Solution

The fourth proportional to 286,885.20, 430,327.80 and 172,723.80 is: 259,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,885.20 : 430,327.80 = 172,723.80 : x
  2. Step 2: Convert to fraction form
    286,885.20/430,327.80 = 172,723.80/x
  3. Step 3: Cross multiply
    286,885.20x = 430,327.80 × 172,723.80
  4. Step 4: Simplify right side
    286,885.20x = 74,327,852,861.64
  5. Step 5: Solve for x
    x = 74,327,852,861.64/286,885.20
  6. Step 6: Final answer
    x = 259,085.70

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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.