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Finding the Fourth Proportional to 824,013, 1,236,027.20 and 291,624.30

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Solution

The fourth proportional to 824,013, 1,236,027.20 and 291,624.30 is: 437,439.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,013 : 1,236,027.20 = 291,624.30 : x
  2. Step 2: Convert to fraction form
    824,013/1,236,027.20 = 291,624.30/x
  3. Step 3: Cross multiply
    824,013x = 1,236,027.20 × 291,624.30
  4. Step 4: Simplify right side
    824,013x = 360,455,565,522.84
  5. Step 5: Solve for x
    x = 360,455,565,522.84/824,013
  6. Step 6: Final answer
    x = 437,439.17

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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.