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Finding the Fourth Proportional to 243,071.60, 365,298.60 and 212,658.80

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Solution

The fourth proportional to 243,071.60, 365,298.60 and 212,658.80 is: 319,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,071.60 : 365,298.60 = 212,658.80 : x
  2. Step 2: Convert to fraction form
    243,071.60/365,298.60 = 212,658.80/x
  3. Step 3: Cross multiply
    243,071.60x = 365,298.60 × 212,658.80
  4. Step 4: Simplify right side
    243,071.60x = 77,683,961,917.68
  5. Step 5: Solve for x
    x = 77,683,961,917.68/243,071.60
  6. Step 6: Final answer
    x = 319,592.92

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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.