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Finding the Fourth Proportional to 288,713.59, 433,063.10 and 78,346.06

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Solution

The fourth proportional to 288,713.59, 433,063.10 and 78,346.06 is: 117,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,713.59 : 433,063.10 = 78,346.06 : x
  2. Step 2: Convert to fraction form
    288,713.59/433,063.10 = 78,346.06/x
  3. Step 3: Cross multiply
    288,713.59x = 433,063.10 × 78,346.06
  4. Step 4: Simplify right side
    288,713.59x = 33,928,786,729.59
  5. Step 5: Solve for x
    x = 33,928,786,729.59/288,713.59
  6. Step 6: Final answer
    x = 117,517.11

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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.