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Finding the Fourth Proportional to 922,325, 1,272,808.50 and 519,917

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Solution

The fourth proportional to 922,325, 1,272,808.50 and 519,917 is: 717,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,325 : 1,272,808.50 = 519,917 : x
  2. Step 2: Convert to fraction form
    922,325/1,272,808.50 = 519,917/x
  3. Step 3: Cross multiply
    922,325x = 1,272,808.50 × 519,917
  4. Step 4: Simplify right side
    922,325x = 661,754,776,894.50
  5. Step 5: Solve for x
    x = 661,754,776,894.50/922,325
  6. Step 6: Final answer
    x = 717,485.46

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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.