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Finding the Fourth Proportional to 374,911.68, 517,390.92 and 205,145.76

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Solution

The fourth proportional to 374,911.68, 517,390.92 and 205,145.76 is: 283,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,911.68 : 517,390.92 = 205,145.76 : x
  2. Step 2: Convert to fraction form
    374,911.68/517,390.92 = 205,145.76/x
  3. Step 3: Cross multiply
    374,911.68x = 517,390.92 × 205,145.76
  4. Step 4: Simplify right side
    374,911.68x = 106,140,553,500.50
  5. Step 5: Solve for x
    x = 106,140,553,500.50/374,911.68
  6. Step 6: Final answer
    x = 283,108.15

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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.