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Finding the Fourth Proportional to 285,719.80, 429,567.90 and 267,219.40

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Solution

The fourth proportional to 285,719.80, 429,567.90 and 267,219.40 is: 401,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,719.80 : 429,567.90 = 267,219.40 : x
  2. Step 2: Convert to fraction form
    285,719.80/429,567.90 = 267,219.40/x
  3. Step 3: Cross multiply
    285,719.80x = 429,567.90 × 267,219.40
  4. Step 4: Simplify right side
    285,719.80x = 114,788,876,497.26
  5. Step 5: Solve for x
    x = 114,788,876,497.26/285,719.80
  6. Step 6: Final answer
    x = 401,753.31

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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.