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Finding the Fourth Proportional to 315,478.65, 473,293.31 and 105,118.41

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Solution

The fourth proportional to 315,478.65, 473,293.31 and 105,118.41 is: 157,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,478.65 : 473,293.31 = 105,118.41 : x
  2. Step 2: Convert to fraction form
    315,478.65/473,293.31 = 105,118.41/x
  3. Step 3: Cross multiply
    315,478.65x = 473,293.31 × 105,118.41
  4. Step 4: Simplify right side
    315,478.65x = 49,751,839,685.25
  5. Step 5: Solve for x
    x = 49,751,839,685.25/315,478.65
  6. Step 6: Final answer
    x = 157,702.72

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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.