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Finding the Fourth Proportional to 657,079.30, 985,626.78 and 257,908.06

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Solution

The fourth proportional to 657,079.30, 985,626.78 and 257,908.06 is: 386,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,079.30 : 985,626.78 = 257,908.06 : x
  2. Step 2: Convert to fraction form
    657,079.30/985,626.78 = 257,908.06/x
  3. Step 3: Cross multiply
    657,079.30x = 985,626.78 × 257,908.06
  4. Step 4: Simplify right side
    657,079.30x = 254,201,090,713.85
  5. Step 5: Solve for x
    x = 254,201,090,713.85/657,079.30
  6. Step 6: Final answer
    x = 386,865.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.