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Finding the Fourth Proportional to 471,479,848.50, 650,911,880.85 and 312,924,987.48

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Solution

The fourth proportional to 471,479,848.50, 650,911,880.85 and 312,924,987.48 is: 432,015,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,479,848.50 : 650,911,880.85 = 312,924,987.48 : x
  2. Step 2: Convert to fraction form
    471,479,848.50/650,911,880.85 = 312,924,987.48/x
  3. Step 3: Cross multiply
    471,479,848.50x = 650,911,880.85 × 312,924,987.48
  4. Step 4: Simplify right side
    471,479,848.50x = 203,686,592,165,569,536
  5. Step 5: Solve for x
    x = 203,686,592,165,569,536/471,479,848.50
  6. Step 6: Final answer
    x = 432,015,478.10

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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.