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Finding the Fourth Proportional to 342,460.96, 472,712.80 and 199,341.28

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Solution

The fourth proportional to 342,460.96, 472,712.80 and 199,341.28 is: 275,158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,460.96 : 472,712.80 = 199,341.28 : x
  2. Step 2: Convert to fraction form
    342,460.96/472,712.80 = 199,341.28/x
  3. Step 3: Cross multiply
    342,460.96x = 472,712.80 × 199,341.28
  4. Step 4: Simplify right side
    342,460.96x = 94,231,174,624.38
  5. Step 5: Solve for x
    x = 94,231,174,624.38/342,460.96
  6. Step 6: Final answer
    x = 275,158.88

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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.