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Finding the Fourth Proportional to 648,223.91, 894,608.52 and 357,887.36

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Solution

The fourth proportional to 648,223.91, 894,608.52 and 357,887.36 is: 493,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,223.91 : 894,608.52 = 357,887.36 : x
  2. Step 2: Convert to fraction form
    648,223.91/894,608.52 = 357,887.36/x
  3. Step 3: Cross multiply
    648,223.91x = 894,608.52 × 357,887.36
  4. Step 4: Simplify right side
    648,223.91x = 320,169,085,370.43
  5. Step 5: Solve for x
    x = 320,169,085,370.43/648,223.91
  6. Step 6: Final answer
    x = 493,917.42

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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.