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Finding the Fourth Proportional to 289,043.30, 433,543.35 and 120,520.10

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Solution

The fourth proportional to 289,043.30, 433,543.35 and 120,520.10 is: 180,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,043.30 : 433,543.35 = 120,520.10 : x
  2. Step 2: Convert to fraction form
    289,043.30/433,543.35 = 120,520.10/x
  3. Step 3: Cross multiply
    289,043.30x = 433,543.35 × 120,520.10
  4. Step 4: Simplify right side
    289,043.30x = 52,250,687,896.34
  5. Step 5: Solve for x
    x = 52,250,687,896.34/289,043.30
  6. Step 6: Final answer
    x = 180,771.14

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1.5x scale

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.