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Finding the Fourth Proportional to 472,235.28, 651,675.78 and 257,376.84

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Solution

The fourth proportional to 472,235.28, 651,675.78 and 257,376.84 is: 355,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,235.28 : 651,675.78 = 257,376.84 : x
  2. Step 2: Convert to fraction form
    472,235.28/651,675.78 = 257,376.84/x
  3. Step 3: Cross multiply
    472,235.28x = 651,675.78 × 257,376.84
  4. Step 4: Simplify right side
    472,235.28x = 167,726,252,960.94
  5. Step 5: Solve for x
    x = 167,726,252,960.94/472,235.28
  6. Step 6: Final answer
    x = 355,175.19

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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.