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Finding the Fourth Proportional to 299,113.59, 448,573.34 and 99,380.35

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Solution

The fourth proportional to 299,113.59, 448,573.34 and 99,380.35 is: 149,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,113.59 : 448,573.34 = 99,380.35 : x
  2. Step 2: Convert to fraction form
    299,113.59/448,573.34 = 99,380.35/x
  3. Step 3: Cross multiply
    299,113.59x = 448,573.34 × 99,380.35
  4. Step 4: Simplify right side
    299,113.59x = 44,579,376,339.04
  5. Step 5: Solve for x
    x = 44,579,376,339.04/299,113.59
  6. Step 6: Final answer
    x = 149,038.28

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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.