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Finding the Fourth Proportional to 388,597.39, 536,243.01 and 214,133.24

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Solution

The fourth proportional to 388,597.39, 536,243.01 and 214,133.24 is: 295,492.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,597.39 : 536,243.01 = 214,133.24 : x
  2. Step 2: Convert to fraction form
    388,597.39/536,243.01 = 214,133.24/x
  3. Step 3: Cross multiply
    388,597.39x = 536,243.01 × 214,133.24
  4. Step 4: Simplify right side
    388,597.39x = 114,827,453,158.65
  5. Step 5: Solve for x
    x = 114,827,453,158.65/388,597.39
  6. Step 6: Final answer
    x = 295,492.09

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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.