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Finding the Fourth Proportional to 243,005.80, 364,071.30 and 208,013.80

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Solution

The fourth proportional to 243,005.80, 364,071.30 and 208,013.80 is: 311,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,005.80 : 364,071.30 = 208,013.80 : x
  2. Step 2: Convert to fraction form
    243,005.80/364,071.30 = 208,013.80/x
  3. Step 3: Cross multiply
    243,005.80x = 364,071.30 × 208,013.80
  4. Step 4: Simplify right side
    243,005.80x = 75,731,854,583.94
  5. Step 5: Solve for x
    x = 75,731,854,583.94/243,005.80
  6. Step 6: Final answer
    x = 311,646.28

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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.