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Finding the Fourth Proportional to 288,854.40, 433,292.88 and 89,156.96

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Solution

The fourth proportional to 288,854.40, 433,292.88 and 89,156.96 is: 133,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,854.40 : 433,292.88 = 89,156.96 : x
  2. Step 2: Convert to fraction form
    288,854.40/433,292.88 = 89,156.96/x
  3. Step 3: Cross multiply
    288,854.40x = 433,292.88 × 89,156.96
  4. Step 4: Simplify right side
    288,854.40x = 38,631,075,970.44
  5. Step 5: Solve for x
    x = 38,631,075,970.44/288,854.40
  6. Step 6: Final answer
    x = 133,738.92

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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.