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Finding the Fourth Proportional to 259,408.75, 357,989.54 and 146,231.50

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Solution

The fourth proportional to 259,408.75, 357,989.54 and 146,231.50 is: 201,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,408.75 : 357,989.54 = 146,231.50 : x
  2. Step 2: Convert to fraction form
    259,408.75/357,989.54 = 146,231.50/x
  3. Step 3: Cross multiply
    259,408.75x = 357,989.54 × 146,231.50
  4. Step 4: Simplify right side
    259,408.75x = 52,349,347,784.09
  5. Step 5: Solve for x
    x = 52,349,347,784.09/259,408.75
  6. Step 6: Final answer
    x = 201,802.55

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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.