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Finding the Fourth Proportional to 343,084.74, 472,865.82 and 228,157.98

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Solution

The fourth proportional to 343,084.74, 472,865.82 and 228,157.98 is: 314,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,084.74 : 472,865.82 = 228,157.98 : x
  2. Step 2: Convert to fraction form
    343,084.74/472,865.82 = 228,157.98/x
  3. Step 3: Cross multiply
    343,084.74x = 472,865.82 × 228,157.98
  4. Step 4: Simplify right side
    343,084.74x = 107,888,110,302.24
  5. Step 5: Solve for x
    x = 107,888,110,302.24/343,084.74
  6. Step 6: Final answer
    x = 314,464.91

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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.