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Finding the Fourth Proportional to 312,248.82, 468,560.10 and 286,839.30

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Solution

The fourth proportional to 312,248.82, 468,560.10 and 286,839.30 is: 430,430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,248.82 : 468,560.10 = 286,839.30 : x
  2. Step 2: Convert to fraction form
    312,248.82/468,560.10 = 286,839.30/x
  3. Step 3: Cross multiply
    312,248.82x = 468,560.10 × 286,839.30
  4. Step 4: Simplify right side
    312,248.82x = 134,401,451,773.38
  5. Step 5: Solve for x
    x = 134,401,451,773.38/312,248.82
  6. Step 6: Final answer
    x = 430,430.61

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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.