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Finding the Fourth Proportional to 242,566.80, 364,506.30 and 213,698.40

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Solution

The fourth proportional to 242,566.80, 364,506.30 and 213,698.40 is: 321,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,566.80 : 364,506.30 = 213,698.40 : x
  2. Step 2: Convert to fraction form
    242,566.80/364,506.30 = 213,698.40/x
  3. Step 3: Cross multiply
    242,566.80x = 364,506.30 × 213,698.40
  4. Step 4: Simplify right side
    242,566.80x = 77,894,413,099.92
  5. Step 5: Solve for x
    x = 77,894,413,099.92/242,566.80
  6. Step 6: Final answer
    x = 321,125.62

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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.