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Finding the Fourth Proportional to 631,924.88, 872,056.40 and 345,447.05

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Solution

The fourth proportional to 631,924.88, 872,056.40 and 345,447.05 is: 476,716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,924.88 : 872,056.40 = 345,447.05 : x
  2. Step 2: Convert to fraction form
    631,924.88/872,056.40 = 345,447.05/x
  3. Step 3: Cross multiply
    631,924.88x = 872,056.40 × 345,447.05
  4. Step 4: Simplify right side
    631,924.88x = 301,249,304,726.10
  5. Step 5: Solve for x
    x = 301,249,304,726.10/631,924.88
  6. Step 6: Final answer
    x = 476,716.96

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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.