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Finding the Fourth Proportional to 509,877.84, 764,713.08 and 484,586.40

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Solution

The fourth proportional to 509,877.84, 764,713.08 and 484,586.40 is: 726,781.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,877.84 : 764,713.08 = 484,586.40 : x
  2. Step 2: Convert to fraction form
    509,877.84/764,713.08 = 484,586.40/x
  3. Step 3: Cross multiply
    509,877.84x = 764,713.08 × 484,586.40
  4. Step 4: Simplify right side
    509,877.84x = 370,569,558,470.11
  5. Step 5: Solve for x
    x = 370,569,558,470.11/509,877.84
  6. Step 6: Final answer
    x = 726,781.06

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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.