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Finding the Fourth Proportional to 289,251.64, 433,874.94 and 78,889.24

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Solution

The fourth proportional to 289,251.64, 433,874.94 and 78,889.24 is: 118,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,251.64 : 433,874.94 = 78,889.24 : x
  2. Step 2: Convert to fraction form
    289,251.64/433,874.94 = 78,889.24/x
  3. Step 3: Cross multiply
    289,251.64x = 433,874.94 × 78,889.24
  4. Step 4: Simplify right side
    289,251.64x = 34,228,064,271.65
  5. Step 5: Solve for x
    x = 34,228,064,271.65/289,251.64
  6. Step 6: Final answer
    x = 118,333.17

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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.