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Finding the Fourth Proportional to 240,470, 360,764.40 and 74,258

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Solution

The fourth proportional to 240,470, 360,764.40 and 74,258 is: 111,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,470 : 360,764.40 = 74,258 : x
  2. Step 2: Convert to fraction form
    240,470/360,764.40 = 74,258/x
  3. Step 3: Cross multiply
    240,470x = 360,764.40 × 74,258
  4. Step 4: Simplify right side
    240,470x = 26,789,642,815.20
  5. Step 5: Solve for x
    x = 26,789,642,815.20/240,470
  6. Step 6: Final answer
    x = 111,405.34

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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.