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Finding the Fourth Proportional to 509,472.17, 703,078.81 and 280,050.67

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Solution

The fourth proportional to 509,472.17, 703,078.81 and 280,050.67 is: 386,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,472.17 : 703,078.81 = 280,050.67 : x
  2. Step 2: Convert to fraction form
    509,472.17/703,078.81 = 280,050.67/x
  3. Step 3: Cross multiply
    509,472.17x = 703,078.81 × 280,050.67
  4. Step 4: Simplify right side
    509,472.17x = 196,897,688,814.85
  5. Step 5: Solve for x
    x = 196,897,688,814.85/509,472.17
  6. Step 6: Final answer
    x = 386,473.89

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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.