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Finding the Fourth Proportional to 398,002.40, 596,485.20 and 161,151.20

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Solution

The fourth proportional to 398,002.40, 596,485.20 and 161,151.20 is: 241,516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,002.40 : 596,485.20 = 161,151.20 : x
  2. Step 2: Convert to fraction form
    398,002.40/596,485.20 = 161,151.20/x
  3. Step 3: Cross multiply
    398,002.40x = 596,485.20 × 161,151.20
  4. Step 4: Simplify right side
    398,002.40x = 96,124,305,762.24
  5. Step 5: Solve for x
    x = 96,124,305,762.24/398,002.40
  6. Step 6: Final answer
    x = 241,516.90

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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.