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Finding the Fourth Proportional to 289,397.70, 434,112.96 and 89,746.47

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Solution

The fourth proportional to 289,397.70, 434,112.96 and 89,746.47 is: 134,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,397.70 : 434,112.96 = 89,746.47 : x
  2. Step 2: Convert to fraction form
    289,397.70/434,112.96 = 89,746.47/x
  3. Step 3: Cross multiply
    289,397.70x = 434,112.96 × 89,746.47
  4. Step 4: Simplify right side
    289,397.70x = 38,960,105,741.25
  5. Step 5: Solve for x
    x = 38,960,105,741.25/289,397.70
  6. Step 6: Final answer
    x = 134,624.79

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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.