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Finding the Fourth Proportional to 509,805.48, 703,515.45 and 280,362.06

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Solution

The fourth proportional to 509,805.48, 703,515.45 and 280,362.06 is: 386,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,805.48 : 703,515.45 = 280,362.06 : x
  2. Step 2: Convert to fraction form
    509,805.48/703,515.45 = 280,362.06/x
  3. Step 3: Cross multiply
    509,805.48x = 703,515.45 × 280,362.06
  4. Step 4: Simplify right side
    509,805.48x = 197,239,035,884.44
  5. Step 5: Solve for x
    x = 197,239,035,884.44/509,805.48
  6. Step 6: Final answer
    x = 386,890.77

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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.