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Finding the Fourth Proportional to 509,716.08, 703,416.24 and 280,283.16

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Solution

The fourth proportional to 509,716.08, 703,416.24 and 280,283.16 is: 386,795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,716.08 : 703,416.24 = 280,283.16 : x
  2. Step 2: Convert to fraction form
    509,716.08/703,416.24 = 280,283.16/x
  3. Step 3: Cross multiply
    509,716.08x = 703,416.24 × 280,283.16
  4. Step 4: Simplify right side
    509,716.08x = 197,155,726,542.52
  5. Step 5: Solve for x
    x = 197,155,726,542.52/509,716.08
  6. Step 6: Final answer
    x = 386,795.19

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1.5x scale

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.