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Finding the Fourth Proportional to 208,911.91, 288,012.80 and 143,498.74

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Solution

The fourth proportional to 208,911.91, 288,012.80 and 143,498.74 is: 197,832.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,911.91 : 288,012.80 = 143,498.74 : x
  2. Step 2: Convert to fraction form
    208,911.91/288,012.80 = 143,498.74/x
  3. Step 3: Cross multiply
    208,911.91x = 288,012.80 × 143,498.74
  4. Step 4: Simplify right side
    208,911.91x = 41,329,473,903.87
  5. Step 5: Solve for x
    x = 41,329,473,903.87/208,911.91
  6. Step 6: Final answer
    x = 197,832.06

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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.