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Finding the Fourth Proportional to 259,408, 357,988.51 and 146,230.75

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Solution

The fourth proportional to 259,408, 357,988.51 and 146,230.75 is: 201,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,408 : 357,988.51 = 146,230.75 : x
  2. Step 2: Convert to fraction form
    259,408/357,988.51 = 146,230.75/x
  3. Step 3: Cross multiply
    259,408x = 357,988.51 × 146,230.75
  4. Step 4: Simplify right side
    259,408x = 52,348,927,943.11
  5. Step 5: Solve for x
    x = 52,348,927,943.11/259,408
  6. Step 6: Final answer
    x = 201,801.52

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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.