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Finding the Fourth Proportional to 268,507.40, 370,527.50 and 147,653.78

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Solution

The fourth proportional to 268,507.40, 370,527.50 and 147,653.78 is: 203,755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,507.40 : 370,527.50 = 147,653.78 : x
  2. Step 2: Convert to fraction form
    268,507.40/370,527.50 = 147,653.78/x
  3. Step 3: Cross multiply
    268,507.40x = 370,527.50 × 147,653.78
  4. Step 4: Simplify right side
    268,507.40x = 54,709,785,968.95
  5. Step 5: Solve for x
    x = 54,709,785,968.95/268,507.40
  6. Step 6: Final answer
    x = 203,755.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.