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Finding the Fourth Proportional to 208,478.40, 287,711.56 and 117,838.32

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Solution

The fourth proportional to 208,478.40, 287,711.56 and 117,838.32 is: 162,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,478.40 : 287,711.56 = 117,838.32 : x
  2. Step 2: Convert to fraction form
    208,478.40/287,711.56 = 117,838.32/x
  3. Step 3: Cross multiply
    208,478.40x = 287,711.56 × 117,838.32
  4. Step 4: Simplify right side
    208,478.40x = 33,903,446,874.98
  5. Step 5: Solve for x
    x = 33,903,446,874.98/208,478.40
  6. Step 6: Final answer
    x = 162,623.31

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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.