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Finding the Fourth Proportional to 509,931.33, 703,718.49 and 280,494.53

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Solution

The fourth proportional to 509,931.33, 703,718.49 and 280,494.53 is: 387,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,931.33 : 703,718.49 = 280,494.53 : x
  2. Step 2: Convert to fraction form
    509,931.33/703,718.49 = 280,494.53/x
  3. Step 3: Cross multiply
    509,931.33x = 703,718.49 × 280,494.53
  4. Step 4: Simplify right side
    509,931.33x = 197,389,183,586.27
  5. Step 5: Solve for x
    x = 197,389,183,586.27/509,931.33
  6. Step 6: Final answer
    x = 387,089.74

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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.