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Finding the Fourth Proportional to 575,749.15, 864,372.10 and 442,722.82

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Solution

The fourth proportional to 575,749.15, 864,372.10 and 442,722.82 is: 664,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,749.15 : 864,372.10 = 442,722.82 : x
  2. Step 2: Convert to fraction form
    575,749.15/864,372.10 = 442,722.82/x
  3. Step 3: Cross multiply
    575,749.15x = 864,372.10 × 442,722.82
  4. Step 4: Simplify right side
    575,749.15x = 382,677,253,641.32
  5. Step 5: Solve for x
    x = 382,677,253,641.32/575,749.15
  6. Step 6: Final answer
    x = 664,659.69

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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.