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Finding the Fourth Proportional to 242,575.80, 364,519.80 and 213,707.40

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Solution

The fourth proportional to 242,575.80, 364,519.80 and 213,707.40 is: 321,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,575.80 : 364,519.80 = 213,707.40 : x
  2. Step 2: Convert to fraction form
    242,575.80/364,519.80 = 213,707.40/x
  3. Step 3: Cross multiply
    242,575.80x = 364,519.80 × 213,707.40
  4. Step 4: Simplify right side
    242,575.80x = 77,900,578,706.52
  5. Step 5: Solve for x
    x = 77,900,578,706.52/242,575.80
  6. Step 6: Final answer
    x = 321,139.12

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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.