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Finding the Fourth Proportional to 651,065,164.80, 898,706,131.20 and 431,119,449.60

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Solution

The fourth proportional to 651,065,164.80, 898,706,131.20 and 431,119,449.60 is: 595,101,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,065,164.80 : 898,706,131.20 = 431,119,449.60 : x
  2. Step 2: Convert to fraction form
    651,065,164.80/898,706,131.20 = 431,119,449.60/x
  3. Step 3: Cross multiply
    651,065,164.80x = 898,706,131.20 × 431,119,449.60
  4. Step 4: Simplify right side
    651,065,164.80x = 387,449,692,635,089,408
  5. Step 5: Solve for x
    x = 387,449,692,635,089,408/651,065,164.80
  6. Step 6: Final answer
    x = 595,101,248.82

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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.