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Finding the Fourth Proportional to 384,772.25, 530,985.71 and 215,022.17

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Solution

The fourth proportional to 384,772.25, 530,985.71 and 215,022.17 is: 296,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,772.25 : 530,985.71 = 215,022.17 : x
  2. Step 2: Convert to fraction form
    384,772.25/530,985.71 = 215,022.17/x
  3. Step 3: Cross multiply
    384,772.25x = 530,985.71 × 215,022.17
  4. Step 4: Simplify right side
    384,772.25x = 114,173,699,603.19
  5. Step 5: Solve for x
    x = 114,173,699,603.19/384,772.25
  6. Step 6: Final answer
    x = 296,730.60

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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.