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Finding the Fourth Proportional to 471,479,854.50, 650,911,889.13 and 312,924,993.48

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Solution

The fourth proportional to 471,479,854.50, 650,911,889.13 and 312,924,993.48 is: 432,015,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,479,854.50 : 650,911,889.13 = 312,924,993.48 : x
  2. Step 2: Convert to fraction form
    471,479,854.50/650,911,889.13 = 312,924,993.48/x
  3. Step 3: Cross multiply
    471,479,854.50x = 650,911,889.13 × 312,924,993.48
  4. Step 4: Simplify right side
    471,479,854.50x = 203,686,598,662,059,744
  5. Step 5: Solve for x
    x = 203,686,598,662,059,744/471,479,854.50
  6. Step 6: Final answer
    x = 432,015,486.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.