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Finding the Fourth Proportional to 259,717, 358,437 and 152,377.44

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Solution

The fourth proportional to 259,717, 358,437 and 152,377.44 is: 210,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,717 : 358,437 = 152,377.44 : x
  2. Step 2: Convert to fraction form
    259,717/358,437 = 152,377.44/x
  3. Step 3: Cross multiply
    259,717x = 358,437 × 152,377.44
  4. Step 4: Simplify right side
    259,717x = 54,617,712,461.28
  5. Step 5: Solve for x
    x = 54,617,712,461.28/259,717
  6. Step 6: Final answer
    x = 210,297.03

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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.