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Finding the Fourth Proportional to 259,408.53, 357,929.33 and 157,487.64

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Solution

The fourth proportional to 259,408.53, 357,929.33 and 157,487.64 is: 217,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,408.53 : 357,929.33 = 157,487.64 : x
  2. Step 2: Convert to fraction form
    259,408.53/357,929.33 = 157,487.64/x
  3. Step 3: Cross multiply
    259,408.53x = 357,929.33 × 157,487.64
  4. Step 4: Simplify right side
    259,408.53x = 56,369,445,468.48
  5. Step 5: Solve for x
    x = 56,369,445,468.48/259,408.53
  6. Step 6: Final answer
    x = 217,299.89

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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.