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Finding the Fourth Proportional to 471,868.74, 651,179.86 and 257,008.14

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Solution

The fourth proportional to 471,868.74, 651,179.86 and 257,008.14 is: 354,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,868.74 : 651,179.86 = 257,008.14 : x
  2. Step 2: Convert to fraction form
    471,868.74/651,179.86 = 257,008.14/x
  3. Step 3: Cross multiply
    471,868.74x = 651,179.86 × 257,008.14
  4. Step 4: Simplify right side
    471,868.74x = 167,358,523,981.54
  5. Step 5: Solve for x
    x = 167,358,523,981.54/471,868.74
  6. Step 6: Final answer
    x = 354,671.78

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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.