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Finding the Fourth Proportional to 242,586.40, 364,009.20 and 109,487.20

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Solution

The fourth proportional to 242,586.40, 364,009.20 and 109,487.20 is: 164,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,586.40 : 364,009.20 = 109,487.20 : x
  2. Step 2: Convert to fraction form
    242,586.40/364,009.20 = 109,487.20/x
  3. Step 3: Cross multiply
    242,586.40x = 364,009.20 × 109,487.20
  4. Step 4: Simplify right side
    242,586.40x = 39,854,348,082.24
  5. Step 5: Solve for x
    x = 39,854,348,082.24/242,586.40
  6. Step 6: Final answer
    x = 164,289.29

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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.