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Finding the Fourth Proportional to 509,718.42, 703,429.46 and 280,293.11

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Solution

The fourth proportional to 509,718.42, 703,429.46 and 280,293.11 is: 386,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,718.42 : 703,429.46 = 280,293.11 : x
  2. Step 2: Convert to fraction form
    509,718.42/703,429.46 = 280,293.11/x
  3. Step 3: Cross multiply
    509,718.42x = 703,429.46 × 280,293.11
  4. Step 4: Simplify right side
    509,718.42x = 197,166,431,356.02
  5. Step 5: Solve for x
    x = 197,166,431,356.02/509,718.42
  6. Step 6: Final answer
    x = 386,814.41

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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.