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Finding the Fourth Proportional to 506,998.12, 699,657.40 and 280,643.62

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Solution

The fourth proportional to 506,998.12, 699,657.40 and 280,643.62 is: 387,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,998.12 : 699,657.40 = 280,643.62 : x
  2. Step 2: Convert to fraction form
    506,998.12/699,657.40 = 280,643.62/x
  3. Step 3: Cross multiply
    506,998.12x = 699,657.40 × 280,643.62
  4. Step 4: Simplify right side
    506,998.12x = 196,354,385,495.79
  5. Step 5: Solve for x
    x = 196,354,385,495.79/506,998.12
  6. Step 6: Final answer
    x = 387,288.19

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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.