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Finding the Fourth Proportional to 315,387.26, 473,076.43 and 146,813.30

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Solution

The fourth proportional to 315,387.26, 473,076.43 and 146,813.30 is: 220,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,387.26 : 473,076.43 = 146,813.30 : x
  2. Step 2: Convert to fraction form
    315,387.26/473,076.43 = 146,813.30/x
  3. Step 3: Cross multiply
    315,387.26x = 473,076.43 × 146,813.30
  4. Step 4: Simplify right side
    315,387.26x = 69,453,911,840.52
  5. Step 5: Solve for x
    x = 69,453,911,840.52/315,387.26
  6. Step 6: Final answer
    x = 220,217.87

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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.