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Finding the Fourth Proportional to 288,722.98, 433,159.19 and 89,038.95

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Solution

The fourth proportional to 288,722.98, 433,159.19 and 89,038.95 is: 133,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,722.98 : 433,159.19 = 89,038.95 : x
  2. Step 2: Convert to fraction form
    288,722.98/433,159.19 = 89,038.95/x
  3. Step 3: Cross multiply
    288,722.98x = 433,159.19 × 89,038.95
  4. Step 4: Simplify right side
    288,722.98x = 38,568,039,460.45
  5. Step 5: Solve for x
    x = 38,568,039,460.45/288,722.98
  6. Step 6: Final answer
    x = 133,581.47

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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.