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Finding the Fourth Proportional to 1,298,812.86, 1,948,402.17 and 400,327.02

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Solution

The fourth proportional to 1,298,812.86, 1,948,402.17 and 400,327.02 is: 600,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,812.86 : 1,948,402.17 = 400,327.02 : x
  2. Step 2: Convert to fraction form
    1,298,812.86/1,948,402.17 = 400,327.02/x
  3. Step 3: Cross multiply
    1,298,812.86x = 1,948,402.17 × 400,327.02
  4. Step 4: Simplify right side
    1,298,812.86x = 779,998,034,477.63
  5. Step 5: Solve for x
    x = 779,998,034,477.63/1,298,812.86
  6. Step 6: Final answer
    x = 600,546.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.