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Finding the Fourth Proportional to 518,947.12, 778,476.08 and 219,457.98

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Solution

The fourth proportional to 518,947.12, 778,476.08 and 219,457.98 is: 329,210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,947.12 : 778,476.08 = 219,457.98 : x
  2. Step 2: Convert to fraction form
    518,947.12/778,476.08 = 219,457.98/x
  3. Step 3: Cross multiply
    518,947.12x = 778,476.08 × 219,457.98
  4. Step 4: Simplify right side
    518,947.12x = 170,842,787,995.12
  5. Step 5: Solve for x
    x = 170,842,787,995.12/518,947.12
  6. Step 6: Final answer
    x = 329,210.40

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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.