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Finding the Fourth Proportional to 506,919.34, 699,570.78 and 280,564.78

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Solution

The fourth proportional to 506,919.34, 699,570.78 and 280,564.78 is: 387,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,919.34 : 699,570.78 = 280,564.78 : x
  2. Step 2: Convert to fraction form
    506,919.34/699,570.78 = 280,564.78/x
  3. Step 3: Cross multiply
    506,919.34x = 699,570.78 × 280,564.78
  4. Step 4: Simplify right side
    506,919.34x = 196,274,921,985.13
  5. Step 5: Solve for x
    x = 196,274,921,985.13/506,919.34
  6. Step 6: Final answer
    x = 387,191.62

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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.