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Finding the Fourth Proportional to 513,744.40, 770,386.20 and 233,117.20

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Solution

The fourth proportional to 513,744.40, 770,386.20 and 233,117.20 is: 349,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,744.40 : 770,386.20 = 233,117.20 : x
  2. Step 2: Convert to fraction form
    513,744.40/770,386.20 = 233,117.20/x
  3. Step 3: Cross multiply
    513,744.40x = 770,386.20 × 233,117.20
  4. Step 4: Simplify right side
    513,744.40x = 179,590,273,862.64
  5. Step 5: Solve for x
    x = 179,590,273,862.64/513,744.40
  6. Step 6: Final answer
    x = 349,571.25

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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.