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Finding the Fourth Proportional to 393,278.72, 587,250.34 and 312,409.00

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Solution

The fourth proportional to 393,278.72, 587,250.34 and 312,409.00 is: 466,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,278.72 : 587,250.34 = 312,409.00 : x
  2. Step 2: Convert to fraction form
    393,278.72/587,250.34 = 312,409.00/x
  3. Step 3: Cross multiply
    393,278.72x = 587,250.34 × 312,409.00
  4. Step 4: Simplify right side
    393,278.72x = 183,462,288,532.81
  5. Step 5: Solve for x
    x = 183,462,288,532.81/393,278.72
  6. Step 6: Final answer
    x = 466,494.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.