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Finding the Fourth Proportional to 513,643.68, 770,463.36 and 139,665.60

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Solution

The fourth proportional to 513,643.68, 770,463.36 and 139,665.60 is: 209,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,643.68 : 770,463.36 = 139,665.60 : x
  2. Step 2: Convert to fraction form
    513,643.68/770,463.36 = 139,665.60/x
  3. Step 3: Cross multiply
    513,643.68x = 770,463.36 × 139,665.60
  4. Step 4: Simplify right side
    513,643.68x = 107,607,227,452.42
  5. Step 5: Solve for x
    x = 107,607,227,452.42/513,643.68
  6. Step 6: Final answer
    x = 209,497.81

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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.