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Finding the Fourth Proportional to 527,137.40, 727,446.52 and 285,415

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Solution

The fourth proportional to 527,137.40, 727,446.52 and 285,415 is: 393,871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,137.40 : 727,446.52 = 285,415 : x
  2. Step 2: Convert to fraction form
    527,137.40/727,446.52 = 285,415/x
  3. Step 3: Cross multiply
    527,137.40x = 727,446.52 × 285,415
  4. Step 4: Simplify right side
    527,137.40x = 207,624,148,505.80
  5. Step 5: Solve for x
    x = 207,624,148,505.80/527,137.40
  6. Step 6: Final answer
    x = 393,871.03

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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.