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Finding the Fourth Proportional to 509,632.98, 703,293.96 and 280,194.18

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Solution

The fourth proportional to 509,632.98, 703,293.96 and 280,194.18 is: 386,668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,632.98 : 703,293.96 = 280,194.18 : x
  2. Step 2: Convert to fraction form
    509,632.98/703,293.96 = 280,194.18/x
  3. Step 3: Cross multiply
    509,632.98x = 703,293.96 × 280,194.18
  4. Step 4: Simplify right side
    509,632.98x = 197,058,874,421.15
  5. Step 5: Solve for x
    x = 197,058,874,421.15/509,632.98
  6. Step 6: Final answer
    x = 386,668.21

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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.