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Finding the Fourth Proportional to 610,788.40, 842,893.08 and 338,874.13

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Solution

The fourth proportional to 610,788.40, 842,893.08 and 338,874.13 is: 467,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,788.40 : 842,893.08 = 338,874.13 : x
  2. Step 2: Convert to fraction form
    610,788.40/842,893.08 = 338,874.13/x
  3. Step 3: Cross multiply
    610,788.40x = 842,893.08 × 338,874.13
  4. Step 4: Simplify right side
    610,788.40x = 285,634,659,168.02
  5. Step 5: Solve for x
    x = 285,634,659,168.02/610,788.40
  6. Step 6: Final answer
    x = 467,649.12

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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.