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Finding the Fourth Proportional to 243,054.60, 365,273.10 and 212,641.80

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Solution

The fourth proportional to 243,054.60, 365,273.10 and 212,641.80 is: 319,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,054.60 : 365,273.10 = 212,641.80 : x
  2. Step 2: Convert to fraction form
    243,054.60/365,273.10 = 212,641.80/x
  3. Step 3: Cross multiply
    243,054.60x = 365,273.10 × 212,641.80
  4. Step 4: Simplify right side
    243,054.60x = 77,672,329,475.58
  5. Step 5: Solve for x
    x = 77,672,329,475.58/243,054.60
  6. Step 6: Final answer
    x = 319,567.41

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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.