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Finding the Fourth Proportional to 657,047.40, 985,579 and 257,876.16

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Solution

The fourth proportional to 657,047.40, 985,579 and 257,876.16 is: 386,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,047.40 : 985,579 = 257,876.16 : x
  2. Step 2: Convert to fraction form
    657,047.40/985,579 = 257,876.16/x
  3. Step 3: Cross multiply
    657,047.40x = 985,579 × 257,876.16
  4. Step 4: Simplify right side
    657,047.40x = 254,157,327,896.64
  5. Step 5: Solve for x
    x = 254,157,327,896.64/657,047.40
  6. Step 6: Final answer
    x = 386,817.34

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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.