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Finding the Fourth Proportional to 862,739,808.40, 1,294,109,712.60 and 724,990,301.20

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Solution

The fourth proportional to 862,739,808.40, 1,294,109,712.60 and 724,990,301.20 is: 1,087,485,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,739,808.40 : 1,294,109,712.60 = 724,990,301.20 : x
  2. Step 2: Convert to fraction form
    862,739,808.40/1,294,109,712.60 = 724,990,301.20/x
  3. Step 3: Cross multiply
    862,739,808.40x = 1,294,109,712.60 × 724,990,301.20
  4. Step 4: Simplify right side
    862,739,808.40x = 938,216,990,323,719,424
  5. Step 5: Solve for x
    x = 938,216,990,323,719,424/862,739,808.40
  6. Step 6: Final answer
    x = 1,087,485,451.80

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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.