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Finding the Fourth Proportional to 257,409.54, 355,210.65 and 149,997.06

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Solution

The fourth proportional to 257,409.54, 355,210.65 and 149,997.06 is: 206,987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,409.54 : 355,210.65 = 149,997.06 : x
  2. Step 2: Convert to fraction form
    257,409.54/355,210.65 = 149,997.06/x
  3. Step 3: Cross multiply
    257,409.54x = 355,210.65 × 149,997.06
  4. Step 4: Simplify right side
    257,409.54x = 53,280,553,180.69
  5. Step 5: Solve for x
    x = 53,280,553,180.69/257,409.54
  6. Step 6: Final answer
    x = 206,987.48

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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.