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Finding the Fourth Proportional to 474,964, 655,442.36 and 257,170.80

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Solution

The fourth proportional to 474,964, 655,442.36 and 257,170.80 is: 354,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,964 : 655,442.36 = 257,170.80 : x
  2. Step 2: Convert to fraction form
    474,964/655,442.36 = 257,170.80/x
  3. Step 3: Cross multiply
    474,964x = 655,442.36 × 257,170.80
  4. Step 4: Simplify right side
    474,964x = 168,560,636,075.09
  5. Step 5: Solve for x
    x = 168,560,636,075.09/474,964
  6. Step 6: Final answer
    x = 354,891.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.