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Finding the Fourth Proportional to 295,816.32, 407,280.96 and 239,414.40

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Solution

The fourth proportional to 295,816.32, 407,280.96 and 239,414.40 is: 329,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,816.32 : 407,280.96 = 239,414.40 : x
  2. Step 2: Convert to fraction form
    295,816.32/407,280.96 = 239,414.40/x
  3. Step 3: Cross multiply
    295,816.32x = 407,280.96 × 239,414.40
  4. Step 4: Simplify right side
    295,816.32x = 97,508,926,669.82
  5. Step 5: Solve for x
    x = 97,508,926,669.82/295,816.32
  6. Step 6: Final answer
    x = 329,626.60

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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.