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Finding the Fourth Proportional to 357,712.42, 493,149.89 and 285,360.87

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Solution

The fourth proportional to 357,712.42, 493,149.89 and 285,360.87 is: 393,404.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,712.42 : 493,149.89 = 285,360.87 : x
  2. Step 2: Convert to fraction form
    357,712.42/493,149.89 = 285,360.87/x
  3. Step 3: Cross multiply
    357,712.42x = 493,149.89 × 285,360.87
  4. Step 4: Simplify right side
    357,712.42x = 140,725,681,650.80
  5. Step 5: Solve for x
    x = 140,725,681,650.80/357,712.42
  6. Step 6: Final answer
    x = 393,404.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.