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Finding the Fourth Proportional to 518,973.40, 778,314.30 and 164,096.20

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Solution

The fourth proportional to 518,973.40, 778,314.30 and 164,096.20 is: 246,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,973.40 : 778,314.30 = 164,096.20 : x
  2. Step 2: Convert to fraction form
    518,973.40/778,314.30 = 164,096.20/x
  3. Step 3: Cross multiply
    518,973.40x = 778,314.30 × 164,096.20
  4. Step 4: Simplify right side
    518,973.40x = 127,718,419,035.66
  5. Step 5: Solve for x
    x = 127,718,419,035.66/518,973.40
  6. Step 6: Final answer
    x = 246,098.20

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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.