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Finding the Fourth Proportional to 208,310.69, 287,389.47 and 153,993.27

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Solution

The fourth proportional to 208,310.69, 287,389.47 and 153,993.27 is: 212,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,310.69 : 287,389.47 = 153,993.27 : x
  2. Step 2: Convert to fraction form
    208,310.69/287,389.47 = 153,993.27/x
  3. Step 3: Cross multiply
    208,310.69x = 287,389.47 × 153,993.27
  4. Step 4: Simplify right side
    208,310.69x = 44,256,044,248.87
  5. Step 5: Solve for x
    x = 44,256,044,248.87/208,310.69
  6. Step 6: Final answer
    x = 212,452.10

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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.