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Finding the Fourth Proportional to 384,896.53, 577,284.15 and 128,727.15

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Solution

The fourth proportional to 384,896.53, 577,284.15 and 128,727.15 is: 193,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,896.53 : 577,284.15 = 128,727.15 : x
  2. Step 2: Convert to fraction form
    384,896.53/577,284.15 = 128,727.15/x
  3. Step 3: Cross multiply
    384,896.53x = 577,284.15 × 128,727.15
  4. Step 4: Simplify right side
    384,896.53x = 74,312,143,369.67
  5. Step 5: Solve for x
    x = 74,312,143,369.67/384,896.53
  6. Step 6: Final answer
    x = 193,070.44

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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.