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Finding the Fourth Proportional to 519,221.90, 778,964.34 and 159,411.11

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Solution

The fourth proportional to 519,221.90, 778,964.34 and 159,411.11 is: 239,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,221.90 : 778,964.34 = 159,411.11 : x
  2. Step 2: Convert to fraction form
    519,221.90/778,964.34 = 159,411.11/x
  3. Step 3: Cross multiply
    519,221.90x = 778,964.34 × 159,411.11
  4. Step 4: Simplify right side
    519,221.90x = 124,175,570,089.82
  5. Step 5: Solve for x
    x = 124,175,570,089.82/519,221.90
  6. Step 6: Final answer
    x = 239,157.03

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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.