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Finding the Fourth Proportional to 513,667.74, 770,479.46 and 134,580.12

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Solution

The fourth proportional to 513,667.74, 770,479.46 and 134,580.12 is: 201,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,667.74 : 770,479.46 = 134,580.12 : x
  2. Step 2: Convert to fraction form
    513,667.74/770,479.46 = 134,580.12/x
  3. Step 3: Cross multiply
    513,667.74x = 770,479.46 × 134,580.12
  4. Step 4: Simplify right side
    513,667.74x = 103,691,218,184.34
  5. Step 5: Solve for x
    x = 103,691,218,184.34/513,667.74
  6. Step 6: Final answer
    x = 201,864.38

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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.