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Finding the Fourth Proportional to 386,702.73, 533,653.40 and 216,940.50

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Solution

The fourth proportional to 386,702.73, 533,653.40 and 216,940.50 is: 299,379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,702.73 : 533,653.40 = 216,940.50 : x
  2. Step 2: Convert to fraction form
    386,702.73/533,653.40 = 216,940.50/x
  3. Step 3: Cross multiply
    386,702.73x = 533,653.40 × 216,940.50
  4. Step 4: Simplify right side
    386,702.73x = 115,771,034,338.00
  5. Step 5: Solve for x
    x = 115,771,034,338.00/386,702.73
  6. Step 6: Final answer
    x = 299,379.93

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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.