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Finding the Fourth Proportional to 382,248, 527,477.28 and 212,475.84

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Solution

The fourth proportional to 382,248, 527,477.28 and 212,475.84 is: 293,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,248 : 527,477.28 = 212,475.84 : x
  2. Step 2: Convert to fraction form
    382,248/527,477.28 = 212,475.84/x
  3. Step 3: Cross multiply
    382,248x = 527,477.28 × 212,475.84
  4. Step 4: Simplify right side
    382,248x = 112,076,178,148.92
  5. Step 5: Solve for x
    x = 112,076,178,148.92/382,248
  6. Step 6: Final answer
    x = 293,202.78

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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.