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Finding the Fourth Proportional to 289,045.92, 398,923.60 and 161,730.16

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Solution

The fourth proportional to 289,045.92, 398,923.60 and 161,730.16 is: 223,210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,045.92 : 398,923.60 = 161,730.16 : x
  2. Step 2: Convert to fraction form
    289,045.92/398,923.60 = 161,730.16/x
  3. Step 3: Cross multiply
    289,045.92x = 398,923.60 × 161,730.16
  4. Step 4: Simplify right side
    289,045.92x = 64,517,977,655.78
  5. Step 5: Solve for x
    x = 64,517,977,655.78/289,045.92
  6. Step 6: Final answer
    x = 223,210.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.