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Finding the Fourth Proportional to 521,361.42, 719,419.29 and 291,886.80

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Solution

The fourth proportional to 521,361.42, 719,419.29 and 291,886.80 is: 402,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,361.42 : 719,419.29 = 291,886.80 : x
  2. Step 2: Convert to fraction form
    521,361.42/719,419.29 = 291,886.80/x
  3. Step 3: Cross multiply
    521,361.42x = 719,419.29 × 291,886.80
  4. Step 4: Simplify right side
    521,361.42x = 209,988,990,623.97
  5. Step 5: Solve for x
    x = 209,988,990,623.97/521,361.42
  6. Step 6: Final answer
    x = 402,770.49

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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.