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Finding the Fourth Proportional to 257,474.96, 355,295.85 and 144,275.84

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Solution

The fourth proportional to 257,474.96, 355,295.85 and 144,275.84 is: 199,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,474.96 : 355,295.85 = 144,275.84 : x
  2. Step 2: Convert to fraction form
    257,474.96/355,295.85 = 144,275.84/x
  3. Step 3: Cross multiply
    257,474.96x = 355,295.85 × 144,275.84
  4. Step 4: Simplify right side
    257,474.96x = 51,260,607,207.26
  5. Step 5: Solve for x
    x = 51,260,607,207.26/257,474.96
  6. Step 6: Final answer
    x = 199,089.68

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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.