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Finding the Fourth Proportional to 292,469.66, 438,649.14 and 142,559.36

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Solution

The fourth proportional to 292,469.66, 438,649.14 and 142,559.36 is: 213,812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,469.66 : 438,649.14 = 142,559.36 : x
  2. Step 2: Convert to fraction form
    292,469.66/438,649.14 = 142,559.36/x
  3. Step 3: Cross multiply
    292,469.66x = 438,649.14 × 142,559.36
  4. Step 4: Simplify right side
    292,469.66x = 62,533,540,662.95
  5. Step 5: Solve for x
    x = 62,533,540,662.95/292,469.66
  6. Step 6: Final answer
    x = 213,812.06

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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.