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Finding the Fourth Proportional to 288,688.80, 433,033.44 and 78,326.76

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Solution

The fourth proportional to 288,688.80, 433,033.44 and 78,326.76 is: 117,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,688.80 : 433,033.44 = 78,326.76 : x
  2. Step 2: Convert to fraction form
    288,688.80/433,033.44 = 78,326.76/x
  3. Step 3: Cross multiply
    288,688.80x = 433,033.44 × 78,326.76
  4. Step 4: Simplify right side
    288,688.80x = 33,918,106,326.85
  5. Step 5: Solve for x
    x = 33,918,106,326.85/288,688.80
  6. Step 6: Final answer
    x = 117,490.21

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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.