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Finding the Fourth Proportional to 286,258.60, 429,020.70 and 159,898.60

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Solution

The fourth proportional to 286,258.60, 429,020.70 and 159,898.60 is: 239,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,258.60 : 429,020.70 = 159,898.60 : x
  2. Step 2: Convert to fraction form
    286,258.60/429,020.70 = 159,898.60/x
  3. Step 3: Cross multiply
    286,258.60x = 429,020.70 × 159,898.60
  4. Step 4: Simplify right side
    286,258.60x = 68,599,809,301.02
  5. Step 5: Solve for x
    x = 68,599,809,301.02/286,258.60
  6. Step 6: Final answer
    x = 239,642.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.