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Finding the Fourth Proportional to 289,246.57, 434,049.08 and 139,501.87

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Solution

The fourth proportional to 289,246.57, 434,049.08 and 139,501.87 is: 209,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,246.57 : 434,049.08 = 139,501.87 : x
  2. Step 2: Convert to fraction form
    289,246.57/434,049.08 = 139,501.87/x
  3. Step 3: Cross multiply
    289,246.57x = 434,049.08 × 139,501.87
  4. Step 4: Simplify right side
    289,246.57x = 60,550,656,549.15
  5. Step 5: Solve for x
    x = 60,550,656,549.15/289,246.57
  6. Step 6: Final answer
    x = 209,339.24

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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.