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Finding the Fourth Proportional to 472,230.82, 651,661.86 and 257,366.62

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Solution

The fourth proportional to 472,230.82, 651,661.86 and 257,366.62 is: 355,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,230.82 : 651,661.86 = 257,366.62 : x
  2. Step 2: Convert to fraction form
    472,230.82/651,661.86 = 257,366.62/x
  3. Step 3: Cross multiply
    472,230.82x = 651,661.86 × 257,366.62
  4. Step 4: Simplify right side
    472,230.82x = 167,716,010,291.11
  5. Step 5: Solve for x
    x = 167,716,010,291.11/472,230.82
  6. Step 6: Final answer
    x = 355,156.85

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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.