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Finding the Fourth Proportional to 409,202,483.80, 613,803,725.70 and 245,943,808.60

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Solution

The fourth proportional to 409,202,483.80, 613,803,725.70 and 245,943,808.60 is: 368,915,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,202,483.80 : 613,803,725.70 = 245,943,808.60 : x
  2. Step 2: Convert to fraction form
    409,202,483.80/613,803,725.70 = 245,943,808.60/x
  3. Step 3: Cross multiply
    409,202,483.80x = 613,803,725.70 × 245,943,808.60
  4. Step 4: Simplify right side
    409,202,483.80x = 150,961,226,031,527,712
  5. Step 5: Solve for x
    x = 150,961,226,031,527,712/409,202,483.80
  6. Step 6: Final answer
    x = 368,915,712.90

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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.