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Finding the Fourth Proportional to 385,405.40, 578,187.88 and 115,522.64

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Solution

The fourth proportional to 385,405.40, 578,187.88 and 115,522.64 is: 173,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,405.40 : 578,187.88 = 115,522.64 : x
  2. Step 2: Convert to fraction form
    385,405.40/578,187.88 = 115,522.64/x
  3. Step 3: Cross multiply
    385,405.40x = 578,187.88 × 115,522.64
  4. Step 4: Simplify right side
    385,405.40x = 66,793,790,084.02
  5. Step 5: Solve for x
    x = 66,793,790,084.02/385,405.40
  6. Step 6: Final answer
    x = 173,307.87

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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.