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Finding the Fourth Proportional to 509,421.72, 703,005.77 and 279,982.91

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Solution

The fourth proportional to 509,421.72, 703,005.77 and 279,982.91 is: 386,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,421.72 : 703,005.77 = 279,982.91 : x
  2. Step 2: Convert to fraction form
    509,421.72/703,005.77 = 279,982.91/x
  3. Step 3: Cross multiply
    509,421.72x = 703,005.77 × 279,982.91
  4. Step 4: Simplify right side
    509,421.72x = 196,829,603,688.86
  5. Step 5: Solve for x
    x = 196,829,603,688.86/509,421.72
  6. Step 6: Final answer
    x = 386,378.50

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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.