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Finding the Fourth Proportional to 509,647.01, 703,326.38 and 280,213.88

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Solution

The fourth proportional to 509,647.01, 703,326.38 and 280,213.88 is: 386,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,647.01 : 703,326.38 = 280,213.88 : x
  2. Step 2: Convert to fraction form
    509,647.01/703,326.38 = 280,213.88/x
  3. Step 3: Cross multiply
    509,647.01x = 703,326.38 × 280,213.88
  4. Step 4: Simplify right side
    509,647.01x = 197,081,808,928.45
  5. Step 5: Solve for x
    x = 197,081,808,928.45/509,647.01
  6. Step 6: Final answer
    x = 386,702.57

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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.