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Finding the Fourth Proportional to 289,404.40, 434,081.28 and 89,720.32

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Solution

The fourth proportional to 289,404.40, 434,081.28 and 89,720.32 is: 134,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,404.40 : 434,081.28 = 89,720.32 : x
  2. Step 2: Convert to fraction form
    289,404.40/434,081.28 = 89,720.32/x
  3. Step 3: Cross multiply
    289,404.40x = 434,081.28 × 89,720.32
  4. Step 4: Simplify right side
    289,404.40x = 38,945,911,347.61
  5. Step 5: Solve for x
    x = 38,945,911,347.61/289,404.40
  6. Step 6: Final answer
    x = 134,572.63

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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.