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Finding the Fourth Proportional to 384,643.10, 576,841.52 and 128,420.66

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Solution

The fourth proportional to 384,643.10, 576,841.52 and 128,420.66 is: 192,589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,643.10 : 576,841.52 = 128,420.66 : x
  2. Step 2: Convert to fraction form
    384,643.10/576,841.52 = 128,420.66/x
  3. Step 3: Cross multiply
    384,643.10x = 576,841.52 × 128,420.66
  4. Step 4: Simplify right side
    384,643.10x = 74,078,368,713.80
  5. Step 5: Solve for x
    x = 74,078,368,713.80/384,643.10
  6. Step 6: Final answer
    x = 192,589.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.