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Finding the Fourth Proportional to 257,724.99, 355,659.26 and 144,547.74

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Solution

The fourth proportional to 257,724.99, 355,659.26 and 144,547.74 is: 199,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,724.99 : 355,659.26 = 144,547.74 : x
  2. Step 2: Convert to fraction form
    257,724.99/355,659.26 = 144,547.74/x
  3. Step 3: Cross multiply
    257,724.99x = 355,659.26 × 144,547.74
  4. Step 4: Simplify right side
    257,724.99x = 51,409,741,520.33
  5. Step 5: Solve for x
    x = 51,409,741,520.33/257,724.99
  6. Step 6: Final answer
    x = 199,475.19

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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.