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Finding the Fourth Proportional to 657,469.80, 986,237.10 and 342,541.80

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Solution

The fourth proportional to 657,469.80, 986,237.10 and 342,541.80 is: 513,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,469.80 : 986,237.10 = 342,541.80 : x
  2. Step 2: Convert to fraction form
    657,469.80/986,237.10 = 342,541.80/x
  3. Step 3: Cross multiply
    657,469.80x = 986,237.10 × 342,541.80
  4. Step 4: Simplify right side
    657,469.80x = 337,827,431,460.78
  5. Step 5: Solve for x
    x = 337,827,431,460.78/657,469.80
  6. Step 6: Final answer
    x = 513,829.58

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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.