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Finding the Fourth Proportional to 238,315.78, 328,878.03 and 130,888

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Solution

The fourth proportional to 238,315.78, 328,878.03 and 130,888 is: 180,626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,315.78 : 328,878.03 = 130,888 : x
  2. Step 2: Convert to fraction form
    238,315.78/328,878.03 = 130,888/x
  3. Step 3: Cross multiply
    238,315.78x = 328,878.03 × 130,888
  4. Step 4: Simplify right side
    238,315.78x = 43,046,187,590.64
  5. Step 5: Solve for x
    x = 43,046,187,590.64/238,315.78
  6. Step 6: Final answer
    x = 180,626.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.