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Finding the Fourth Proportional to 484,652,020.80, 726,978,031.20 and 291,160,257.60

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Solution

The fourth proportional to 484,652,020.80, 726,978,031.20 and 291,160,257.60 is: 436,740,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,652,020.80 : 726,978,031.20 = 291,160,257.60 : x
  2. Step 2: Convert to fraction form
    484,652,020.80/726,978,031.20 = 291,160,257.60/x
  3. Step 3: Cross multiply
    484,652,020.80x = 726,978,031.20 × 291,160,257.60
  4. Step 4: Simplify right side
    484,652,020.80x = 211,667,110,833,732,864
  5. Step 5: Solve for x
    x = 211,667,110,833,732,864/484,652,020.80
  6. Step 6: Final answer
    x = 436,740,386.40

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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.