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Finding the Fourth Proportional to 299,273,502.80, 448,910,254.20 and 282,645,304.40

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Solution

The fourth proportional to 299,273,502.80, 448,910,254.20 and 282,645,304.40 is: 423,967,956.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,273,502.80 : 448,910,254.20 = 282,645,304.40 : x
  2. Step 2: Convert to fraction form
    299,273,502.80/448,910,254.20 = 282,645,304.40/x
  3. Step 3: Cross multiply
    299,273,502.80x = 448,910,254.20 × 282,645,304.40
  4. Step 4: Simplify right side
    299,273,502.80x = 126,882,375,446,640,368
  5. Step 5: Solve for x
    x = 126,882,375,446,640,368/299,273,502.80
  6. Step 6: Final answer
    x = 423,967,956.60

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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.