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Finding the Fourth Proportional to 312,248.95, 468,560.29 and 286,839.43

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Solution

The fourth proportional to 312,248.95, 468,560.29 and 286,839.43 is: 430,430.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,248.95 : 468,560.29 = 286,839.43 : x
  2. Step 2: Convert to fraction form
    312,248.95/468,560.29 = 286,839.43/x
  3. Step 3: Cross multiply
    312,248.95x = 468,560.29 × 286,839.43
  4. Step 4: Simplify right side
    312,248.95x = 134,401,562,727.24
  5. Step 5: Solve for x
    x = 134,401,562,727.24/312,248.95
  6. Step 6: Final answer
    x = 430,430.79

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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.