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Finding the Fourth Proportional to 509,665.59, 703,347.17 and 280,232.28

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Solution

The fourth proportional to 509,665.59, 703,347.17 and 280,232.28 is: 386,725.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,665.59 : 703,347.17 = 280,232.28 : x
  2. Step 2: Convert to fraction form
    509,665.59/703,347.17 = 280,232.28/x
  3. Step 3: Cross multiply
    509,665.59x = 703,347.17 × 280,232.28
  4. Step 4: Simplify right side
    509,665.59x = 197,100,579,679.49
  5. Step 5: Solve for x
    x = 197,100,579,679.49/509,665.59
  6. Step 6: Final answer
    x = 386,725.30

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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.