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Finding the Fourth Proportional to 384,717.60, 577,109.21 and 100,445.87

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Solution

The fourth proportional to 384,717.60, 577,109.21 and 100,445.87 is: 150,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,717.60 : 577,109.21 = 100,445.87 : x
  2. Step 2: Convert to fraction form
    384,717.60/577,109.21 = 100,445.87/x
  3. Step 3: Cross multiply
    384,717.60x = 577,109.21 × 100,445.87
  4. Step 4: Simplify right side
    384,717.60x = 57,968,237,624.01
  5. Step 5: Solve for x
    x = 57,968,237,624.01/384,717.60
  6. Step 6: Final answer
    x = 150,677.37

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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.