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Finding the Fourth Proportional to 342,283.30, 512,987.55 and 164,407.30

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Solution

The fourth proportional to 342,283.30, 512,987.55 and 164,407.30 is: 246,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,283.30 : 512,987.55 = 164,407.30 : x
  2. Step 2: Convert to fraction form
    342,283.30/512,987.55 = 164,407.30/x
  3. Step 3: Cross multiply
    342,283.30x = 512,987.55 × 164,407.30
  4. Step 4: Simplify right side
    342,283.30x = 84,338,898,029.12
  5. Step 5: Solve for x
    x = 84,338,898,029.12/342,283.30
  6. Step 6: Final answer
    x = 246,400.86

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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.