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Finding the Fourth Proportional to 340,433.64, 510,727.04 and 103,800.24

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Solution

The fourth proportional to 340,433.64, 510,727.04 and 103,800.24 is: 155,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,433.64 : 510,727.04 = 103,800.24 : x
  2. Step 2: Convert to fraction form
    340,433.64/510,727.04 = 103,800.24/x
  3. Step 3: Cross multiply
    340,433.64x = 510,727.04 × 103,800.24
  4. Step 4: Simplify right side
    340,433.64x = 53,013,588,807.49
  5. Step 5: Solve for x
    x = 53,013,588,807.49/340,433.64
  6. Step 6: Final answer
    x = 155,723.71

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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.