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Finding the Fourth Proportional to 257,266.33, 386,031.12 and 122,482.78

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Solution

The fourth proportional to 257,266.33, 386,031.12 and 122,482.78 is: 183,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,266.33 : 386,031.12 = 122,482.78 : x
  2. Step 2: Convert to fraction form
    257,266.33/386,031.12 = 122,482.78/x
  3. Step 3: Cross multiply
    257,266.33x = 386,031.12 × 122,482.78
  4. Step 4: Simplify right side
    257,266.33x = 47,282,164,744.11
  5. Step 5: Solve for x
    x = 47,282,164,744.11/257,266.33
  6. Step 6: Final answer
    x = 183,786.84

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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.