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Finding the Fourth Proportional to 292,238.88, 438,005.70 and 142,254.48

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Solution

The fourth proportional to 292,238.88, 438,005.70 and 142,254.48 is: 213,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,238.88 : 438,005.70 = 142,254.48 : x
  2. Step 2: Convert to fraction form
    292,238.88/438,005.70 = 142,254.48/x
  3. Step 3: Cross multiply
    292,238.88x = 438,005.70 × 142,254.48
  4. Step 4: Simplify right side
    292,238.88x = 62,308,273,090.54
  5. Step 5: Solve for x
    x = 62,308,273,090.54/292,238.88
  6. Step 6: Final answer
    x = 213,210.07

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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.