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Finding the Fourth Proportional to 259,410.28, 357,931.74 and 157,489.40

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Solution

The fourth proportional to 259,410.28, 357,931.74 and 157,489.40 is: 217,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,410.28 : 357,931.74 = 157,489.40 : x
  2. Step 2: Convert to fraction form
    259,410.28/357,931.74 = 157,489.40/x
  3. Step 3: Cross multiply
    259,410.28x = 357,931.74 × 157,489.40
  4. Step 4: Simplify right side
    259,410.28x = 56,370,454,973.56
  5. Step 5: Solve for x
    x = 56,370,454,973.56/259,410.28
  6. Step 6: Final answer
    x = 217,302.32

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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.