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Finding the Fourth Proportional to 648,194.49, 894,508.47 and 357,806.16

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Solution

The fourth proportional to 648,194.49, 894,508.47 and 357,806.16 is: 493,772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,194.49 : 894,508.47 = 357,806.16 : x
  2. Step 2: Convert to fraction form
    648,194.49/894,508.47 = 357,806.16/x
  3. Step 3: Cross multiply
    648,194.49x = 894,508.47 × 357,806.16
  4. Step 4: Simplify right side
    648,194.49x = 320,060,640,738.18
  5. Step 5: Solve for x
    x = 320,060,640,738.18/648,194.49
  6. Step 6: Final answer
    x = 493,772.54

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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.