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Finding the Fourth Proportional to 342,168.78, 513,242.47 and 142,484.11

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Solution

The fourth proportional to 342,168.78, 513,242.47 and 142,484.11 is: 213,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,168.78 : 513,242.47 = 142,484.11 : x
  2. Step 2: Convert to fraction form
    342,168.78/513,242.47 = 142,484.11/x
  3. Step 3: Cross multiply
    342,168.78x = 513,242.47 × 142,484.11
  4. Step 4: Simplify right side
    342,168.78x = 73,128,896,552.15
  5. Step 5: Solve for x
    x = 73,128,896,552.15/342,168.78
  6. Step 6: Final answer
    x = 213,721.71

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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.