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Finding the Fourth Proportional to 315,136.40, 472,747.80 and 104,752.40

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Solution

The fourth proportional to 315,136.40, 472,747.80 and 104,752.40 is: 157,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,136.40 : 472,747.80 = 104,752.40 : x
  2. Step 2: Convert to fraction form
    315,136.40/472,747.80 = 104,752.40/x
  3. Step 3: Cross multiply
    315,136.40x = 472,747.80 × 104,752.40
  4. Step 4: Simplify right side
    315,136.40x = 49,521,466,644.72
  5. Step 5: Solve for x
    x = 49,521,466,644.72/315,136.40
  6. Step 6: Final answer
    x = 157,142.96

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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.