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Finding the Fourth Proportional to 460,580,401.20, 689,862,832.20 and 400,114,225.20

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Solution

The fourth proportional to 460,580,401.20, 689,862,832.20 and 400,114,225.20 is: 599,295,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,580,401.20 : 689,862,832.20 = 400,114,225.20 : x
  2. Step 2: Convert to fraction form
    460,580,401.20/689,862,832.20 = 400,114,225.20/x
  3. Step 3: Cross multiply
    460,580,401.20x = 689,862,832.20 × 400,114,225.20
  4. Step 4: Simplify right side
    460,580,401.20x = 276,023,932,599,980,608
  5. Step 5: Solve for x
    x = 276,023,932,599,980,608/460,580,401.20
  6. Step 6: Final answer
    x = 599,295,870.78

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