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Finding the Fourth Proportional to 518,973.36, 778,493 and 219,398.12

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Solution

The fourth proportional to 518,973.36, 778,493 and 219,398.12 is: 329,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,973.36 : 778,493 = 219,398.12 : x
  2. Step 2: Convert to fraction form
    518,973.36/778,493 = 219,398.12/x
  3. Step 3: Cross multiply
    518,973.36x = 778,493 × 219,398.12
  4. Step 4: Simplify right side
    518,973.36x = 170,799,900,633.16
  5. Step 5: Solve for x
    x = 170,799,900,633.16/518,973.36
  6. Step 6: Final answer
    x = 329,111.11

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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.