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Finding the Fourth Proportional to 289,263.66, 433,263.78 and 120,271.56

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Solution

The fourth proportional to 289,263.66, 433,263.78 and 120,271.56 is: 180,144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,263.66 : 433,263.78 = 120,271.56 : x
  2. Step 2: Convert to fraction form
    289,263.66/433,263.78 = 120,271.56/x
  3. Step 3: Cross multiply
    289,263.66x = 433,263.78 × 120,271.56
  4. Step 4: Simplify right side
    289,263.66x = 52,109,310,712.10
  5. Step 5: Solve for x
    x = 52,109,310,712.10/289,263.66
  6. Step 6: Final answer
    x = 180,144.68

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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.