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Finding the Fourth Proportional to 665,075.40, 997,029.90 and 398,941.80

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Solution

The fourth proportional to 665,075.40, 997,029.90 and 398,941.80 is: 598,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,075.40 : 997,029.90 = 398,941.80 : x
  2. Step 2: Convert to fraction form
    665,075.40/997,029.90 = 398,941.80/x
  3. Step 3: Cross multiply
    665,075.40x = 997,029.90 × 398,941.80
  4. Step 4: Simplify right side
    665,075.40x = 397,756,902,959.82
  5. Step 5: Solve for x
    x = 397,756,902,959.82/665,075.40
  6. Step 6: Final answer
    x = 598,062.87

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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.