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Finding the Fourth Proportional to 527,039.04, 727,308 and 285,315.84

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Solution

The fourth proportional to 527,039.04, 727,308 and 285,315.84 is: 393,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,039.04 : 727,308 = 285,315.84 : x
  2. Step 2: Convert to fraction form
    527,039.04/727,308 = 285,315.84/x
  3. Step 3: Cross multiply
    527,039.04x = 727,308 × 285,315.84
  4. Step 4: Simplify right side
    527,039.04x = 207,512,492,958.72
  5. Step 5: Solve for x
    x = 207,512,492,958.72/527,039.04
  6. Step 6: Final answer
    x = 393,732.68

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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.