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Finding the Fourth Proportional to 384,080.36, 530,280.56 and 343,724.74

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Solution

The fourth proportional to 384,080.36, 530,280.56 and 343,724.74 is: 474,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,080.36 : 530,280.56 = 343,724.74 : x
  2. Step 2: Convert to fraction form
    384,080.36/530,280.56 = 343,724.74/x
  3. Step 3: Cross multiply
    384,080.36x = 530,280.56 × 343,724.74
  4. Step 4: Simplify right side
    384,080.36x = 182,270,545,213.21
  5. Step 5: Solve for x
    x = 182,270,545,213.21/384,080.36
  6. Step 6: Final answer
    x = 474,563.57

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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.