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Finding the Fourth Proportional to 423,814.60, 635,721.90 and 186,905.80

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Solution

The fourth proportional to 423,814.60, 635,721.90 and 186,905.80 is: 280,358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,814.60 : 635,721.90 = 186,905.80 : x
  2. Step 2: Convert to fraction form
    423,814.60/635,721.90 = 186,905.80/x
  3. Step 3: Cross multiply
    423,814.60x = 635,721.90 × 186,905.80
  4. Step 4: Simplify right side
    423,814.60x = 118,820,110,297.02
  5. Step 5: Solve for x
    x = 118,820,110,297.02/423,814.60
  6. Step 6: Final answer
    x = 280,358.70

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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.