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Finding the Fourth Proportional to 399,419.84, 599,427.32 and 293,078.58

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Solution

The fourth proportional to 399,419.84, 599,427.32 and 293,078.58 is: 439,836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,419.84 : 599,427.32 = 293,078.58 : x
  2. Step 2: Convert to fraction form
    399,419.84/599,427.32 = 293,078.58/x
  3. Step 3: Cross multiply
    399,419.84x = 599,427.32 × 293,078.58
  4. Step 4: Simplify right side
    399,419.84x = 175,679,306,293.41
  5. Step 5: Solve for x
    x = 175,679,306,293.41/399,419.84
  6. Step 6: Final answer
    x = 439,836.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.