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Finding the Fourth Proportional to 513,435.54, 770,531.71 and 243,564.53

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Solution

The fourth proportional to 513,435.54, 770,531.71 and 243,564.53 is: 365,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,435.54 : 770,531.71 = 243,564.53 : x
  2. Step 2: Convert to fraction form
    513,435.54/770,531.71 = 243,564.53/x
  3. Step 3: Cross multiply
    513,435.54x = 770,531.71 × 243,564.53
  4. Step 4: Simplify right side
    513,435.54x = 187,674,189,334.68
  5. Step 5: Solve for x
    x = 187,674,189,334.68/513,435.54
  6. Step 6: Final answer
    x = 365,526.29

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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.