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Finding the Fourth Proportional to 289,372.16, 434,033.60 and 89,688

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Solution

The fourth proportional to 289,372.16, 434,033.60 and 89,688 is: 134,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,372.16 : 434,033.60 = 89,688 : x
  2. Step 2: Convert to fraction form
    289,372.16/434,033.60 = 89,688/x
  3. Step 3: Cross multiply
    289,372.16x = 434,033.60 × 89,688
  4. Step 4: Simplify right side
    289,372.16x = 38,927,605,516.80
  5. Step 5: Solve for x
    x = 38,927,605,516.80/289,372.16
  6. Step 6: Final answer
    x = 134,524.36

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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.