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Finding the Fourth Proportional to 288,264.60, 432,834.30 and 221,779.80

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Solution

The fourth proportional to 288,264.60, 432,834.30 and 221,779.80 is: 333,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,264.60 : 432,834.30 = 221,779.80 : x
  2. Step 2: Convert to fraction form
    288,264.60/432,834.30 = 221,779.80/x
  3. Step 3: Cross multiply
    288,264.60x = 432,834.30 × 221,779.80
  4. Step 4: Simplify right side
    288,264.60x = 95,993,904,487.14
  5. Step 5: Solve for x
    x = 95,993,904,487.14/288,264.60
  6. Step 6: Final answer
    x = 333,006.22

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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.