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Finding the Fourth Proportional to 305,018.71, 457,589.22 and 105,346.42

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Solution

The fourth proportional to 305,018.71, 457,589.22 and 105,346.42 is: 158,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,018.71 : 457,589.22 = 105,346.42 : x
  2. Step 2: Convert to fraction form
    305,018.71/457,589.22 = 105,346.42/x
  3. Step 3: Cross multiply
    305,018.71x = 457,589.22 × 105,346.42
  4. Step 4: Simplify right side
    305,018.71x = 48,205,386,157.59
  5. Step 5: Solve for x
    x = 48,205,386,157.59/305,018.71
  6. Step 6: Final answer
    x = 158,040.75

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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.