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Finding the Fourth Proportional to 257,796.75, 355,755.15 and 144,617.07

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Solution

The fourth proportional to 257,796.75, 355,755.15 and 144,617.07 is: 199,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,796.75 : 355,755.15 = 144,617.07 : x
  2. Step 2: Convert to fraction form
    257,796.75/355,755.15 = 144,617.07/x
  3. Step 3: Cross multiply
    257,796.75x = 355,755.15 × 144,617.07
  4. Step 4: Simplify right side
    257,796.75x = 51,448,267,430.41
  5. Step 5: Solve for x
    x = 51,448,267,430.41/257,796.75
  6. Step 6: Final answer
    x = 199,569.11

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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.