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Finding the Fourth Proportional to 513,802.88, 709,286.04 and 298,864.64

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Solution

The fourth proportional to 513,802.88, 709,286.04 and 298,864.64 is: 412,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,802.88 : 709,286.04 = 298,864.64 : x
  2. Step 2: Convert to fraction form
    513,802.88/709,286.04 = 298,864.64/x
  3. Step 3: Cross multiply
    513,802.88x = 709,286.04 × 298,864.64
  4. Step 4: Simplify right side
    513,802.88x = 211,980,517,001.63
  5. Step 5: Solve for x
    x = 211,980,517,001.63/513,802.88
  6. Step 6: Final answer
    x = 412,571.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.