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Finding the Fourth Proportional to 208,208.99, 287,323.10 and 116,328.97

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Solution

The fourth proportional to 208,208.99, 287,323.10 and 116,328.97 is: 160,531.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,208.99 : 287,323.10 = 116,328.97 : x
  2. Step 2: Convert to fraction form
    208,208.99/287,323.10 = 116,328.97/x
  3. Step 3: Cross multiply
    208,208.99x = 287,323.10 × 116,328.97
  4. Step 4: Simplify right side
    208,208.99x = 33,424,000,493.95
  5. Step 5: Solve for x
    x = 33,424,000,493.95/208,208.99
  6. Step 6: Final answer
    x = 160,531.01

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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.