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Finding the Fourth Proportional to 409,203,061.80, 613,804,592.70 and 245,944,386.60

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Solution

The fourth proportional to 409,203,061.80, 613,804,592.70 and 245,944,386.60 is: 368,916,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,203,061.80 : 613,804,592.70 = 245,944,386.60 : x
  2. Step 2: Convert to fraction form
    409,203,061.80/613,804,592.70 = 245,944,386.60/x
  3. Step 3: Cross multiply
    409,203,061.80x = 613,804,592.70 × 245,944,386.60
  4. Step 4: Simplify right side
    409,203,061.80x = 150,961,794,043,864,352
  5. Step 5: Solve for x
    x = 150,961,794,043,864,352/409,203,061.80
  6. Step 6: Final answer
    x = 368,916,579.90

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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.