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Finding the Fourth Proportional to 295,663, 407,535.78 and 231,019.24

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Solution

The fourth proportional to 295,663, 407,535.78 and 231,019.24 is: 318,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,663 : 407,535.78 = 231,019.24 : x
  2. Step 2: Convert to fraction form
    295,663/407,535.78 = 231,019.24/x
  3. Step 3: Cross multiply
    295,663x = 407,535.78 × 231,019.24
  4. Step 4: Simplify right side
    295,663x = 94,148,606,168.41
  5. Step 5: Solve for x
    x = 94,148,606,168.41/295,663
  6. Step 6: Final answer
    x = 318,432.15

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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.