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Finding the Fourth Proportional to 768,061,405.26, 1,059,924,712.14 and 415,637,392.32

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Solution

The fourth proportional to 768,061,405.26, 1,059,924,712.14 and 415,637,392.32 is: 573,579,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,061,405.26 : 1,059,924,712.14 = 415,637,392.32 : x
  2. Step 2: Convert to fraction form
    768,061,405.26/1,059,924,712.14 = 415,637,392.32/x
  3. Step 3: Cross multiply
    768,061,405.26x = 1,059,924,712.14 × 415,637,392.32
  4. Step 4: Simplify right side
    768,061,405.26x = 440,544,343,409,396,224
  5. Step 5: Solve for x
    x = 440,544,343,409,396,224/768,061,405.26
  6. Step 6: Final answer
    x = 573,579,586.73

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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.