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Finding the Fourth Proportional to 494,709.60, 742,258.80 and 195,139.20

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Solution

The fourth proportional to 494,709.60, 742,258.80 and 195,139.20 is: 292,785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,709.60 : 742,258.80 = 195,139.20 : x
  2. Step 2: Convert to fraction form
    494,709.60/742,258.80 = 195,139.20/x
  3. Step 3: Cross multiply
    494,709.60x = 742,258.80 × 195,139.20
  4. Step 4: Simplify right side
    494,709.60x = 144,843,788,424.96
  5. Step 5: Solve for x
    x = 144,843,788,424.96/494,709.60
  6. Step 6: Final answer
    x = 292,785.48

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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.