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Finding the Fourth Proportional to 242,905.60, 365,049.60 and 212,492.80

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Solution

The fourth proportional to 242,905.60, 365,049.60 and 212,492.80 is: 319,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,905.60 : 365,049.60 = 212,492.80 : x
  2. Step 2: Convert to fraction form
    242,905.60/365,049.60 = 212,492.80/x
  3. Step 3: Cross multiply
    242,905.60x = 365,049.60 × 212,492.80
  4. Step 4: Simplify right side
    242,905.60x = 77,570,411,642.88
  5. Step 5: Solve for x
    x = 77,570,411,642.88/242,905.60
  6. Step 6: Final answer
    x = 319,343.86

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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.