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Finding the Fourth Proportional to 292,438.78, 438,820.36 and 142,680.31

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Solution

The fourth proportional to 292,438.78, 438,820.36 and 142,680.31 is: 214,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,438.78 : 438,820.36 = 142,680.31 : x
  2. Step 2: Convert to fraction form
    292,438.78/438,820.36 = 142,680.31/x
  3. Step 3: Cross multiply
    292,438.78x = 438,820.36 × 142,680.31
  4. Step 4: Simplify right side
    292,438.78x = 62,611,023,545.36
  5. Step 5: Solve for x
    x = 62,611,023,545.36/292,438.78
  6. Step 6: Final answer
    x = 214,099.59

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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.