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Finding the Fourth Proportional to 657,271.80, 985,518.90 and 342,343.80

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Solution

The fourth proportional to 657,271.80, 985,518.90 and 342,343.80 is: 513,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,271.80 : 985,518.90 = 342,343.80 : x
  2. Step 2: Convert to fraction form
    657,271.80/985,518.90 = 342,343.80/x
  3. Step 3: Cross multiply
    657,271.80x = 985,518.90 × 342,343.80
  4. Step 4: Simplify right side
    657,271.80x = 337,386,285,197.82
  5. Step 5: Solve for x
    x = 337,386,285,197.82/657,271.80
  6. Step 6: Final answer
    x = 513,313.19

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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.