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Finding the Fourth Proportional to 289,210.20, 433,815.30 and 287,241.90

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Solution

The fourth proportional to 289,210.20, 433,815.30 and 287,241.90 is: 430,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,210.20 : 433,815.30 = 287,241.90 : x
  2. Step 2: Convert to fraction form
    289,210.20/433,815.30 = 287,241.90/x
  3. Step 3: Cross multiply
    289,210.20x = 433,815.30 × 287,241.90
  4. Step 4: Simplify right side
    289,210.20x = 124,609,931,021.07
  5. Step 5: Solve for x
    x = 124,609,931,021.07/289,210.20
  6. Step 6: Final answer
    x = 430,862.85

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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.