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Finding the Fourth Proportional to 610,508.50, 842,501.73 and 338,618.04

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Solution

The fourth proportional to 610,508.50, 842,501.73 and 338,618.04 is: 467,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,508.50 : 842,501.73 = 338,618.04 : x
  2. Step 2: Convert to fraction form
    610,508.50/842,501.73 = 338,618.04/x
  3. Step 3: Cross multiply
    610,508.50x = 842,501.73 × 338,618.04
  4. Step 4: Simplify right side
    610,508.50x = 285,286,284,509.21
  5. Step 5: Solve for x
    x = 285,286,284,509.21/610,508.50
  6. Step 6: Final answer
    x = 467,292.90

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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.