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Finding the Fourth Proportional to 305,293.50, 457,981.92 and 105,560.24

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Solution

The fourth proportional to 305,293.50, 457,981.92 and 105,560.24 is: 158,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,293.50 : 457,981.92 = 105,560.24 : x
  2. Step 2: Convert to fraction form
    305,293.50/457,981.92 = 105,560.24/x
  3. Step 3: Cross multiply
    305,293.50x = 457,981.92 × 105,560.24
  4. Step 4: Simplify right side
    305,293.50x = 48,344,679,100.95
  5. Step 5: Solve for x
    x = 48,344,679,100.95/305,293.50
  6. Step 6: Final answer
    x = 158,354.76

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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.