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Finding the Fourth Proportional to 686,382.72, 947,207.52 and 384,578.88

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Solution

The fourth proportional to 686,382.72, 947,207.52 and 384,578.88 is: 530,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,382.72 : 947,207.52 = 384,578.88 : x
  2. Step 2: Convert to fraction form
    686,382.72/947,207.52 = 384,578.88/x
  3. Step 3: Cross multiply
    686,382.72x = 947,207.52 × 384,578.88
  4. Step 4: Simplify right side
    686,382.72x = 364,276,007,169.18
  5. Step 5: Solve for x
    x = 364,276,007,169.18/686,382.72
  6. Step 6: Final answer
    x = 530,718.50

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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.