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Finding the Fourth Proportional to 208,353.17, 287,510.31 and 117,717

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Solution

The fourth proportional to 208,353.17, 287,510.31 and 117,717 is: 162,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,353.17 : 287,510.31 = 117,717 : x
  2. Step 2: Convert to fraction form
    208,353.17/287,510.31 = 117,717/x
  3. Step 3: Cross multiply
    208,353.17x = 287,510.31 × 117,717
  4. Step 4: Simplify right side
    208,353.17x = 33,844,851,162.27
  5. Step 5: Solve for x
    x = 33,844,851,162.27/208,353.17
  6. Step 6: Final answer
    x = 162,439.82

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1.5x scale

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.