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Finding the Fourth Proportional to 527,103.40, 727,401.73 and 285,385.94

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Solution

The fourth proportional to 527,103.40, 727,401.73 and 285,385.94 is: 393,832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,103.40 : 727,401.73 = 285,385.94 : x
  2. Step 2: Convert to fraction form
    527,103.40/727,401.73 = 285,385.94/x
  3. Step 3: Cross multiply
    527,103.40x = 727,401.73 × 285,385.94
  4. Step 4: Simplify right side
    527,103.40x = 207,590,226,473.68
  5. Step 5: Solve for x
    x = 207,590,226,473.68/527,103.40
  6. Step 6: Final answer
    x = 393,832.08

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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.