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Finding the Fourth Proportional to 268,686.36, 402,143.67 and 148,558.59

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Solution

The fourth proportional to 268,686.36, 402,143.67 and 148,558.59 is: 222,348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,686.36 : 402,143.67 = 148,558.59 : x
  2. Step 2: Convert to fraction form
    268,686.36/402,143.67 = 148,558.59/x
  3. Step 3: Cross multiply
    268,686.36x = 402,143.67 × 148,558.59
  4. Step 4: Simplify right side
    268,686.36x = 59,741,896,592.63
  5. Step 5: Solve for x
    x = 59,741,896,592.63/268,686.36
  6. Step 6: Final answer
    x = 222,348.08

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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.