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Finding the Fourth Proportional to 509,839.72, 703,586.94 and 280,407.08

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Solution

The fourth proportional to 509,839.72, 703,586.94 and 280,407.08 is: 386,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,839.72 : 703,586.94 = 280,407.08 : x
  2. Step 2: Convert to fraction form
    509,839.72/703,586.94 = 280,407.08/x
  3. Step 3: Cross multiply
    509,839.72x = 703,586.94 × 280,407.08
  4. Step 4: Simplify right side
    509,839.72x = 197,290,759,371.54
  5. Step 5: Solve for x
    x = 197,290,759,371.54/509,839.72
  6. Step 6: Final answer
    x = 386,966.24

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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.