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Finding the Fourth Proportional to 657,287.40, 985,927.90 and 257,645.80

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Solution

The fourth proportional to 657,287.40, 985,927.90 and 257,645.80 is: 386,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,287.40 : 985,927.90 = 257,645.80 : x
  2. Step 2: Convert to fraction form
    657,287.40/985,927.90 = 257,645.80/x
  3. Step 3: Cross multiply
    657,287.40x = 985,927.90 × 257,645.80
  4. Step 4: Simplify right side
    657,287.40x = 254,020,182,537.82
  5. Step 5: Solve for x
    x = 254,020,182,537.82/657,287.40
  6. Step 6: Final answer
    x = 386,467.45

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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.