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Finding the Fourth Proportional to 510,969.84, 766,544.82 and 211,282.50

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Solution

The fourth proportional to 510,969.84, 766,544.82 and 211,282.50 is: 316,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,969.84 : 766,544.82 = 211,282.50 : x
  2. Step 2: Convert to fraction form
    510,969.84/766,544.82 = 211,282.50/x
  3. Step 3: Cross multiply
    510,969.84x = 766,544.82 × 211,282.50
  4. Step 4: Simplify right side
    510,969.84x = 161,957,505,931.65
  5. Step 5: Solve for x
    x = 161,957,505,931.65/510,969.84
  6. Step 6: Final answer
    x = 316,960.99

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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.