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Finding the Fourth Proportional to 299,357.40, 448,938.90 and 99,643.80

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Solution

The fourth proportional to 299,357.40, 448,938.90 and 99,643.80 is: 149,433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,357.40 : 448,938.90 = 99,643.80 : x
  2. Step 2: Convert to fraction form
    299,357.40/448,938.90 = 99,643.80/x
  3. Step 3: Cross multiply
    299,357.40x = 448,938.90 × 99,643.80
  4. Step 4: Simplify right side
    299,357.40x = 44,733,977,963.82
  5. Step 5: Solve for x
    x = 44,733,977,963.82/299,357.40
  6. Step 6: Final answer
    x = 149,433.35

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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.