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Finding the Fourth Proportional to 288,712.34, 433,061.22 and 78,344.81

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Solution

The fourth proportional to 288,712.34, 433,061.22 and 78,344.81 is: 117,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,712.34 : 433,061.22 = 78,344.81 : x
  2. Step 2: Convert to fraction form
    288,712.34/433,061.22 = 78,344.81/x
  3. Step 3: Cross multiply
    288,712.34x = 433,061.22 × 78,344.81
  4. Step 4: Simplify right side
    288,712.34x = 33,928,098,999.27
  5. Step 5: Solve for x
    x = 33,928,098,999.27/288,712.34
  6. Step 6: Final answer
    x = 117,515.24

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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.