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Finding the Fourth Proportional to 208,290.78, 287,439.03 and 117,646.92

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Solution

The fourth proportional to 208,290.78, 287,439.03 and 117,646.92 is: 162,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,290.78 : 287,439.03 = 117,646.92 : x
  2. Step 2: Convert to fraction form
    208,290.78/287,439.03 = 117,646.92/x
  3. Step 3: Cross multiply
    208,290.78x = 287,439.03 × 117,646.92
  4. Step 4: Simplify right side
    208,290.78x = 33,816,316,567.29
  5. Step 5: Solve for x
    x = 33,816,316,567.29/208,290.78
  6. Step 6: Final answer
    x = 162,351.48

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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.