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Finding the Fourth Proportional to 385,312.60, 577,191.30 and 267,117.40

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Solution

The fourth proportional to 385,312.60, 577,191.30 and 267,117.40 is: 400,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,312.60 : 577,191.30 = 267,117.40 : x
  2. Step 2: Convert to fraction form
    385,312.60/577,191.30 = 267,117.40/x
  3. Step 3: Cross multiply
    385,312.60x = 577,191.30 × 267,117.40
  4. Step 4: Simplify right side
    385,312.60x = 154,177,839,358.62
  5. Step 5: Solve for x
    x = 154,177,839,358.62/385,312.60
  6. Step 6: Final answer
    x = 400,137.03

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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.