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Finding the Fourth Proportional to 523,880.32, 722,959.68 and 285,416.32

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Solution

The fourth proportional to 523,880.32, 722,959.68 and 285,416.32 is: 393,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,880.32 : 722,959.68 = 285,416.32 : x
  2. Step 2: Convert to fraction form
    523,880.32/722,959.68 = 285,416.32/x
  3. Step 3: Cross multiply
    523,880.32x = 722,959.68 × 285,416.32
  4. Step 4: Simplify right side
    523,880.32x = 206,344,491,373.98
  5. Step 5: Solve for x
    x = 206,344,491,373.98/523,880.32
  6. Step 6: Final answer
    x = 393,877.16

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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.