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Finding the Fourth Proportional to 384,773.62, 530,977.41 and 215,009.14

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Solution

The fourth proportional to 384,773.62, 530,977.41 and 215,009.14 is: 296,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,773.62 : 530,977.41 = 215,009.14 : x
  2. Step 2: Convert to fraction form
    384,773.62/530,977.41 = 215,009.14/x
  3. Step 3: Cross multiply
    384,773.62x = 530,977.41 × 215,009.14
  4. Step 4: Simplify right side
    384,773.62x = 114,164,996,283.53
  5. Step 5: Solve for x
    x = 114,164,996,283.53/384,773.62
  6. Step 6: Final answer
    x = 296,706.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.