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Finding the Fourth Proportional to 259,721, 358,442.52 and 152,381.44

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Solution

The fourth proportional to 259,721, 358,442.52 and 152,381.44 is: 210,302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,721 : 358,442.52 = 152,381.44 : x
  2. Step 2: Convert to fraction form
    259,721/358,442.52 = 152,381.44/x
  3. Step 3: Cross multiply
    259,721x = 358,442.52 × 152,381.44
  4. Step 4: Simplify right side
    259,721x = 54,619,987,354.83
  5. Step 5: Solve for x
    x = 54,619,987,354.83/259,721
  6. Step 6: Final answer
    x = 210,302.55

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1.5x scale

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.