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Finding the Fourth Proportional to 456,199.92, 684,338.16 and 168,090

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Solution

The fourth proportional to 456,199.92, 684,338.16 and 168,090 is: 252,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,199.92 : 684,338.16 = 168,090 : x
  2. Step 2: Convert to fraction form
    456,199.92/684,338.16 = 168,090/x
  3. Step 3: Cross multiply
    456,199.92x = 684,338.16 × 168,090
  4. Step 4: Simplify right side
    456,199.92x = 115,030,401,314.40
  5. Step 5: Solve for x
    x = 115,030,401,314.40/456,199.92
  6. Step 6: Final answer
    x = 252,149.10

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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.