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Finding the Fourth Proportional to 513,698.36, 770,552.76 and 229,403.40

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Solution

The fourth proportional to 513,698.36, 770,552.76 and 229,403.40 is: 344,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,698.36 : 770,552.76 = 229,403.40 : x
  2. Step 2: Convert to fraction form
    513,698.36/770,552.76 = 229,403.40/x
  3. Step 3: Cross multiply
    513,698.36x = 770,552.76 × 229,403.40
  4. Step 4: Simplify right side
    513,698.36x = 176,767,423,023.38
  5. Step 5: Solve for x
    x = 176,767,423,023.38/513,698.36
  6. Step 6: Final answer
    x = 344,107.43

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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.