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Finding the Fourth Proportional to 518,658, 778,293.18 and 219,119.19

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Solution

The fourth proportional to 518,658, 778,293.18 and 219,119.19 is: 328,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,658 : 778,293.18 = 219,119.19 : x
  2. Step 2: Convert to fraction form
    518,658/778,293.18 = 219,119.19/x
  3. Step 3: Cross multiply
    518,658x = 778,293.18 × 219,119.19
  4. Step 4: Simplify right side
    518,658x = 170,538,971,184.12
  5. Step 5: Solve for x
    x = 170,538,971,184.12/518,658
  6. Step 6: Final answer
    x = 328,808.14

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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.