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Finding the Fourth Proportional to 315,764.72, 473,640.40 and 102,532.40

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Solution

The fourth proportional to 315,764.72, 473,640.40 and 102,532.40 is: 153,796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,764.72 : 473,640.40 = 102,532.40 : x
  2. Step 2: Convert to fraction form
    315,764.72/473,640.40 = 102,532.40/x
  3. Step 3: Cross multiply
    315,764.72x = 473,640.40 × 102,532.40
  4. Step 4: Simplify right side
    315,764.72x = 48,563,486,948.96
  5. Step 5: Solve for x
    x = 48,563,486,948.96/315,764.72
  6. Step 6: Final answer
    x = 153,796.43

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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.