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Finding the Fourth Proportional to 507,371.50, 700,194.95 and 281,017

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Solution

The fourth proportional to 507,371.50, 700,194.95 and 281,017 is: 387,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,371.50 : 700,194.95 = 281,017 : x
  2. Step 2: Convert to fraction form
    507,371.50/700,194.95 = 281,017/x
  3. Step 3: Cross multiply
    507,371.50x = 700,194.95 × 281,017
  4. Step 4: Simplify right side
    507,371.50x = 196,766,684,264.15
  5. Step 5: Solve for x
    x = 196,766,684,264.15/507,371.50
  6. Step 6: Final answer
    x = 387,815.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.