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Finding the Fourth Proportional to 486,190.84, 729,364.04 and 205,710.52

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Solution

The fourth proportional to 486,190.84, 729,364.04 and 205,710.52 is: 308,598.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,190.84 : 729,364.04 = 205,710.52 : x
  2. Step 2: Convert to fraction form
    486,190.84/729,364.04 = 205,710.52/x
  3. Step 3: Cross multiply
    486,190.84x = 729,364.04 × 205,710.52
  4. Step 4: Simplify right side
    486,190.84x = 150,037,855,937.70
  5. Step 5: Solve for x
    x = 150,037,855,937.70/486,190.84
  6. Step 6: Final answer
    x = 308,598.69

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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.