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Finding the Fourth Proportional to 610,503.75, 842,495.18 and 338,613.28

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Solution

The fourth proportional to 610,503.75, 842,495.18 and 338,613.28 is: 467,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,503.75 : 842,495.18 = 338,613.28 : x
  2. Step 2: Convert to fraction form
    610,503.75/842,495.18 = 338,613.28/x
  3. Step 3: Cross multiply
    610,503.75x = 842,495.18 × 338,613.28
  4. Step 4: Simplify right side
    610,503.75x = 285,280,052,484.69
  5. Step 5: Solve for x
    x = 285,280,052,484.69/610,503.75
  6. Step 6: Final answer
    x = 467,286.32

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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.