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Finding the Fourth Proportional to 506,625.36, 699,116.04 and 280,266

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Solution

The fourth proportional to 506,625.36, 699,116.04 and 280,266 is: 386,752.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,625.36 : 699,116.04 = 280,266 : x
  2. Step 2: Convert to fraction form
    506,625.36/699,116.04 = 280,266/x
  3. Step 3: Cross multiply
    506,625.36x = 699,116.04 × 280,266
  4. Step 4: Simplify right side
    506,625.36x = 195,938,456,066.64
  5. Step 5: Solve for x
    x = 195,938,456,066.64/506,625.36
  6. Step 6: Final answer
    x = 386,752.17

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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.