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Finding the Fourth Proportional to 219,547.21, 328,698.05 and 143,734.04

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Solution

The fourth proportional to 219,547.21, 328,698.05 and 143,734.04 is: 215,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,547.21 : 328,698.05 = 143,734.04 : x
  2. Step 2: Convert to fraction form
    219,547.21/328,698.05 = 143,734.04/x
  3. Step 3: Cross multiply
    219,547.21x = 328,698.05 × 143,734.04
  4. Step 4: Simplify right side
    219,547.21x = 47,245,099,025.96
  5. Step 5: Solve for x
    x = 47,245,099,025.96/219,547.21
  6. Step 6: Final answer
    x = 215,193.35

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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.