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Finding the Fourth Proportional to 515,813, 773,724.46 and 155,986.68

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Solution

The fourth proportional to 515,813, 773,724.46 and 155,986.68 is: 233,981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,813 : 773,724.46 = 155,986.68 : x
  2. Step 2: Convert to fraction form
    515,813/773,724.46 = 155,986.68/x
  3. Step 3: Cross multiply
    515,813x = 773,724.46 × 155,986.68
  4. Step 4: Simplify right side
    515,813x = 120,690,709,750.19
  5. Step 5: Solve for x
    x = 120,690,709,750.19/515,813
  6. Step 6: Final answer
    x = 233,981.52

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1.5x scale

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.