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Finding the Fourth Proportional to 509,931.43, 703,722.63 and 280,505.77

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Solution

The fourth proportional to 509,931.43, 703,722.63 and 280,505.77 is: 387,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,931.43 : 703,722.63 = 280,505.77 : x
  2. Step 2: Convert to fraction form
    509,931.43/703,722.63 = 280,505.77/x
  3. Step 3: Cross multiply
    509,931.43x = 703,722.63 × 280,505.77
  4. Step 4: Simplify right side
    509,931.43x = 197,398,257,487.17
  5. Step 5: Solve for x
    x = 197,398,257,487.17/509,931.43
  6. Step 6: Final answer
    x = 387,107.46

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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.