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Finding the Fourth Proportional to 299,257.20, 448,885.80 and 133,045.20

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Solution

The fourth proportional to 299,257.20, 448,885.80 and 133,045.20 is: 199,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,257.20 : 448,885.80 = 133,045.20 : x
  2. Step 2: Convert to fraction form
    299,257.20/448,885.80 = 133,045.20/x
  3. Step 3: Cross multiply
    299,257.20x = 448,885.80 × 133,045.20
  4. Step 4: Simplify right side
    299,257.20x = 59,722,101,038.16
  5. Step 5: Solve for x
    x = 59,722,101,038.16/299,257.20
  6. Step 6: Final answer
    x = 199,567.80

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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.