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Finding the Fourth Proportional to 513,218, 770,147.76 and 247,006.64

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Solution

The fourth proportional to 513,218, 770,147.76 and 247,006.64 is: 370,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,218 : 770,147.76 = 247,006.64 : x
  2. Step 2: Convert to fraction form
    513,218/770,147.76 = 247,006.64/x
  3. Step 3: Cross multiply
    513,218x = 770,147.76 × 247,006.64
  4. Step 4: Simplify right side
    513,218x = 190,231,610,501.13
  5. Step 5: Solve for x
    x = 190,231,610,501.13/513,218
  6. Step 6: Final answer
    x = 370,664.34

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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.