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Finding the Fourth Proportional to 299,127.88, 448,686.06 and 77,506.12

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Solution

The fourth proportional to 299,127.88, 448,686.06 and 77,506.12 is: 116,257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,127.88 : 448,686.06 = 77,506.12 : x
  2. Step 2: Convert to fraction form
    299,127.88/448,686.06 = 77,506.12/x
  3. Step 3: Cross multiply
    299,127.88x = 448,686.06 × 77,506.12
  4. Step 4: Simplify right side
    299,127.88x = 34,775,915,608.69
  5. Step 5: Solve for x
    x = 34,775,915,608.69/299,127.88
  6. Step 6: Final answer
    x = 116,257.69

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1.5x scale

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.