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Finding the Fourth Proportional to 522,087.23, 783,018.05 and 185,138.87

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Solution

The fourth proportional to 522,087.23, 783,018.05 and 185,138.87 is: 277,668.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,087.23 : 783,018.05 = 185,138.87 : x
  2. Step 2: Convert to fraction form
    522,087.23/783,018.05 = 185,138.87/x
  3. Step 3: Cross multiply
    522,087.23x = 783,018.05 × 185,138.87
  4. Step 4: Simplify right side
    522,087.23x = 144,967,079,387.00
  5. Step 5: Solve for x
    x = 144,967,079,387.00/522,087.23
  6. Step 6: Final answer
    x = 277,668.31

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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.