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Finding the Fourth Proportional to 651,840, 978,193.85 and 267,903.74

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Solution

The fourth proportional to 651,840, 978,193.85 and 267,903.74 is: 402,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,840 : 978,193.85 = 267,903.74 : x
  2. Step 2: Convert to fraction form
    651,840/978,193.85 = 267,903.74/x
  3. Step 3: Cross multiply
    651,840x = 978,193.85 × 267,903.74
  4. Step 4: Simplify right side
    651,840x = 262,061,790,860.00
  5. Step 5: Solve for x
    x = 262,061,790,860.00/651,840
  6. Step 6: Final answer
    x = 402,033.92

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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.