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Finding the Fourth Proportional to 289,030.39, 398,862.28 and 161,706.08

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Solution

The fourth proportional to 289,030.39, 398,862.28 and 161,706.08 is: 223,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,030.39 : 398,862.28 = 161,706.08 : x
  2. Step 2: Convert to fraction form
    289,030.39/398,862.28 = 161,706.08/x
  3. Step 3: Cross multiply
    289,030.39x = 398,862.28 × 161,706.08
  4. Step 4: Simplify right side
    289,030.39x = 64,498,455,758.66
  5. Step 5: Solve for x
    x = 64,498,455,758.66/289,030.39
  6. Step 6: Final answer
    x = 223,154.59

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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.