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Finding the Fourth Proportional to 506,792.64, 699,395.70 and 280,438.14

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Solution

The fourth proportional to 506,792.64, 699,395.70 and 280,438.14 is: 387,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,792.64 : 699,395.70 = 280,438.14 : x
  2. Step 2: Convert to fraction form
    506,792.64/699,395.70 = 280,438.14/x
  3. Step 3: Cross multiply
    506,792.64x = 699,395.70 × 280,438.14
  4. Step 4: Simplify right side
    506,792.64x = 196,137,229,232.00
  5. Step 5: Solve for x
    x = 196,137,229,232.00/506,792.64
  6. Step 6: Final answer
    x = 387,016.73

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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.