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Finding the Fourth Proportional to 305,017.71, 457,587.72 and 105,345.42

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Solution

The fourth proportional to 305,017.71, 457,587.72 and 105,345.42 is: 158,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,017.71 : 457,587.72 = 105,345.42 : x
  2. Step 2: Convert to fraction form
    305,017.71/457,587.72 = 105,345.42/x
  3. Step 3: Cross multiply
    305,017.71x = 457,587.72 × 105,345.42
  4. Step 4: Simplify right side
    305,017.71x = 48,204,770,550.24
  5. Step 5: Solve for x
    x = 48,204,770,550.24/305,017.71
  6. Step 6: Final answer
    x = 158,039.25

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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.