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Finding the Fourth Proportional to 524,299.60, 786,643.80 and 208,982.80

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Solution

The fourth proportional to 524,299.60, 786,643.80 and 208,982.80 is: 313,551.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,299.60 : 786,643.80 = 208,982.80 : x
  2. Step 2: Convert to fraction form
    524,299.60/786,643.80 = 208,982.80/x
  3. Step 3: Cross multiply
    524,299.60x = 786,643.80 × 208,982.80
  4. Step 4: Simplify right side
    524,299.60x = 164,395,023,926.64
  5. Step 5: Solve for x
    x = 164,395,023,926.64/524,299.60
  6. Step 6: Final answer
    x = 313,551.69

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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.