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Finding the Fourth Proportional to 472,311.41, 651,796.57 and 257,451.51

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Solution

The fourth proportional to 472,311.41, 651,796.57 and 257,451.51 is: 355,286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,311.41 : 651,796.57 = 257,451.51 : x
  2. Step 2: Convert to fraction form
    472,311.41/651,796.57 = 257,451.51/x
  3. Step 3: Cross multiply
    472,311.41x = 651,796.57 × 257,451.51
  4. Step 4: Simplify right side
    472,311.41x = 167,806,013,925.37
  5. Step 5: Solve for x
    x = 167,806,013,925.37/472,311.41
  6. Step 6: Final answer
    x = 355,286.81

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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.