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Finding the Fourth Proportional to 388,463.80, 536,078.10 and 218,699.14

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Solution

The fourth proportional to 388,463.80, 536,078.10 and 218,699.14 is: 301,803.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,463.80 : 536,078.10 = 218,699.14 : x
  2. Step 2: Convert to fraction form
    388,463.80/536,078.10 = 218,699.14/x
  3. Step 3: Cross multiply
    388,463.80x = 536,078.10 × 218,699.14
  4. Step 4: Simplify right side
    388,463.80x = 117,239,819,442.83
  5. Step 5: Solve for x
    x = 117,239,819,442.83/388,463.80
  6. Step 6: Final answer
    x = 301,803.72

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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.