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Finding the Fourth Proportional to 305,136.78, 457,642.55 and 115,531.89

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Solution

The fourth proportional to 305,136.78, 457,642.55 and 115,531.89 is: 173,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,136.78 : 457,642.55 = 115,531.89 : x
  2. Step 2: Convert to fraction form
    305,136.78/457,642.55 = 115,531.89/x
  3. Step 3: Cross multiply
    305,136.78x = 457,642.55 × 115,531.89
  4. Step 4: Simplify right side
    305,136.78x = 52,872,308,168.26
  5. Step 5: Solve for x
    x = 52,872,308,168.26/305,136.78
  6. Step 6: Final answer
    x = 173,274.12

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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.