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Finding the Fourth Proportional to 209,393.84, 288,971.16 and 116,262.20

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Solution

The fourth proportional to 209,393.84, 288,971.16 and 116,262.20 is: 160,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,393.84 : 288,971.16 = 116,262.20 : x
  2. Step 2: Convert to fraction form
    209,393.84/288,971.16 = 116,262.20/x
  3. Step 3: Cross multiply
    209,393.84x = 288,971.16 × 116,262.20
  4. Step 4: Simplify right side
    209,393.84x = 33,596,422,798.15
  5. Step 5: Solve for x
    x = 33,596,422,798.15/209,393.84
  6. Step 6: Final answer
    x = 160,446.09

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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.