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Finding the Fourth Proportional to 272,878,247.80, 409,317,371.70 and 100,319,355.10

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Solution

The fourth proportional to 272,878,247.80, 409,317,371.70 and 100,319,355.10 is: 150,479,032.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,878,247.80 : 409,317,371.70 = 100,319,355.10 : x
  2. Step 2: Convert to fraction form
    272,878,247.80/409,317,371.70 = 100,319,355.10/x
  3. Step 3: Cross multiply
    272,878,247.80x = 409,317,371.70 × 100,319,355.10
  4. Step 4: Simplify right side
    272,878,247.80x = 41,062,454,760,170,984
  5. Step 5: Solve for x
    x = 41,062,454,760,170,984/272,878,247.80
  6. Step 6: Final answer
    x = 150,479,032.65

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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.