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Finding the Fourth Proportional to 509,633.12, 703,294.16 and 280,194.30

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Solution

The fourth proportional to 509,633.12, 703,294.16 and 280,194.30 is: 386,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,633.12 : 703,294.16 = 280,194.30 : x
  2. Step 2: Convert to fraction form
    509,633.12/703,294.16 = 280,194.30/x
  3. Step 3: Cross multiply
    509,633.12x = 703,294.16 × 280,194.30
  4. Step 4: Simplify right side
    509,633.12x = 197,059,013,454.32
  5. Step 5: Solve for x
    x = 197,059,013,454.32/509,633.12
  6. Step 6: Final answer
    x = 386,668.38

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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.