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Finding the Fourth Proportional to 384,209.70, 576,314.55 and 197,585.70

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Solution

The fourth proportional to 384,209.70, 576,314.55 and 197,585.70 is: 296,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,209.70 : 576,314.55 = 197,585.70 : x
  2. Step 2: Convert to fraction form
    384,209.70/576,314.55 = 197,585.70/x
  3. Step 3: Cross multiply
    384,209.70x = 576,314.55 × 197,585.70
  4. Step 4: Simplify right side
    384,209.70x = 113,871,513,781.94
  5. Step 5: Solve for x
    x = 113,871,513,781.94/384,209.70
  6. Step 6: Final answer
    x = 296,378.55

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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.