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Finding the Fourth Proportional to 305,507.61, 457,866.02 and 170,568.15

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Solution

The fourth proportional to 305,507.61, 457,866.02 and 170,568.15 is: 255,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,507.61 : 457,866.02 = 170,568.15 : x
  2. Step 2: Convert to fraction form
    305,507.61/457,866.02 = 170,568.15/x
  3. Step 3: Cross multiply
    305,507.61x = 457,866.02 × 170,568.15
  4. Step 4: Simplify right side
    305,507.61x = 78,097,359,126.42
  5. Step 5: Solve for x
    x = 78,097,359,126.42/305,507.61
  6. Step 6: Final answer
    x = 255,631.47

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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.