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Finding the Fourth Proportional to 388,864, 536,632.32 and 210,016

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Solution

The fourth proportional to 388,864, 536,632.32 and 210,016 is: 289,822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,864 : 536,632.32 = 210,016 : x
  2. Step 2: Convert to fraction form
    388,864/536,632.32 = 210,016/x
  3. Step 3: Cross multiply
    388,864x = 536,632.32 × 210,016
  4. Step 4: Simplify right side
    388,864x = 112,701,373,317.12
  5. Step 5: Solve for x
    x = 112,701,373,317.12/388,864
  6. Step 6: Final answer
    x = 289,822.08

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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.