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Finding the Fourth Proportional to 1,971,231.72, 2,955,715.77 and 771,749.70

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Solution

The fourth proportional to 1,971,231.72, 2,955,715.77 and 771,749.70 is: 1,157,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,231.72 : 2,955,715.77 = 771,749.70 : x
  2. Step 2: Convert to fraction form
    1,971,231.72/2,955,715.77 = 771,749.70/x
  3. Step 3: Cross multiply
    1,971,231.72x = 2,955,715.77 × 771,749.70
  4. Step 4: Simplify right side
    1,971,231.72x = 2,281,072,758,782.77
  5. Step 5: Solve for x
    x = 2,281,072,758,782.77/1,971,231.72
  6. Step 6: Final answer
    x = 1,157,181.44

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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.