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Finding the Fourth Proportional to 400,349.64, 600,503.40 and 100,830

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Solution

The fourth proportional to 400,349.64, 600,503.40 and 100,830 is: 151,239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,349.64 : 600,503.40 = 100,830 : x
  2. Step 2: Convert to fraction form
    400,349.64/600,503.40 = 100,830/x
  3. Step 3: Cross multiply
    400,349.64x = 600,503.40 × 100,830
  4. Step 4: Simplify right side
    400,349.64x = 60,548,757,822
  5. Step 5: Solve for x
    x = 60,548,757,822/400,349.64
  6. Step 6: Final answer
    x = 151,239.70

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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.