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Finding the Fourth Proportional to 384,902.09, 577,285.10 and 104,441.21

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Solution

The fourth proportional to 384,902.09, 577,285.10 and 104,441.21 is: 156,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,902.09 : 577,285.10 = 104,441.21 : x
  2. Step 2: Convert to fraction form
    384,902.09/577,285.10 = 104,441.21/x
  3. Step 3: Cross multiply
    384,902.09x = 577,285.10 × 104,441.21
  4. Step 4: Simplify right side
    384,902.09x = 60,292,353,836.77
  5. Step 5: Solve for x
    x = 60,292,353,836.77/384,902.09
  6. Step 6: Final answer
    x = 156,643.35

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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.