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Finding the Fourth Proportional to 472,222.68, 651,648.29 and 257,358.12

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Solution

The fourth proportional to 472,222.68, 651,648.29 and 257,358.12 is: 355,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,222.68 : 651,648.29 = 257,358.12 : x
  2. Step 2: Convert to fraction form
    472,222.68/651,648.29 = 257,358.12/x
  3. Step 3: Cross multiply
    472,222.68x = 651,648.29 × 257,358.12
  4. Step 4: Simplify right side
    472,222.68x = 167,706,978,815.62
  5. Step 5: Solve for x
    x = 167,706,978,815.62/472,222.68
  6. Step 6: Final answer
    x = 355,143.85

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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.