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Finding the Fourth Proportional to 292,011.97, 438,032.31 and 142,380.17

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Solution

The fourth proportional to 292,011.97, 438,032.31 and 142,380.17 is: 213,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,011.97 : 438,032.31 = 142,380.17 : x
  2. Step 2: Convert to fraction form
    292,011.97/438,032.31 = 142,380.17/x
  3. Step 3: Cross multiply
    292,011.97x = 438,032.31 × 142,380.17
  4. Step 4: Simplify right side
    292,011.97x = 62,367,114,763.29
  5. Step 5: Solve for x
    x = 62,367,114,763.29/292,011.97
  6. Step 6: Final answer
    x = 213,577.25

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1.5x scale

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.