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Finding the Fourth Proportional to 259,407.78, 357,928.29 and 157,486.90

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Solution

The fourth proportional to 259,407.78, 357,928.29 and 157,486.90 is: 217,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,407.78 : 357,928.29 = 157,486.90 : x
  2. Step 2: Convert to fraction form
    259,407.78/357,928.29 = 157,486.90/x
  3. Step 3: Cross multiply
    259,407.78x = 357,928.29 × 157,486.90
  4. Step 4: Simplify right side
    259,407.78x = 56,369,016,814.40
  5. Step 5: Solve for x
    x = 56,369,016,814.40/259,407.78
  6. Step 6: Final answer
    x = 217,298.87

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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.