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Finding the Fourth Proportional to 513,855, 770,856.01 and 158,896.40

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Solution

The fourth proportional to 513,855, 770,856.01 and 158,896.40 is: 238,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,855 : 770,856.01 = 158,896.40 : x
  2. Step 2: Convert to fraction form
    513,855/770,856.01 = 158,896.40/x
  3. Step 3: Cross multiply
    513,855x = 770,856.01 × 158,896.40
  4. Step 4: Simplify right side
    513,855x = 122,486,240,655.84
  5. Step 5: Solve for x
    x = 122,486,240,655.84/513,855
  6. Step 6: Final answer
    x = 238,367.32

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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.