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Finding the Fourth Proportional to 585,138.52, 877,778.13 and 205,980.51

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Solution

The fourth proportional to 585,138.52, 877,778.13 and 205,980.51 is: 308,995.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,138.52 : 877,778.13 = 205,980.51 : x
  2. Step 2: Convert to fraction form
    585,138.52/877,778.13 = 205,980.51/x
  3. Step 3: Cross multiply
    585,138.52x = 877,778.13 × 205,980.51
  4. Step 4: Simplify right side
    585,138.52x = 180,805,186,884.25
  5. Step 5: Solve for x
    x = 180,805,186,884.25/585,138.52
  6. Step 6: Final answer
    x = 308,995.53

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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.