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Finding the Fourth Proportional to 560,158.78, 840,138.54 and 223,171.24

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Solution

The fourth proportional to 560,158.78, 840,138.54 and 223,171.24 is: 334,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,158.78 : 840,138.54 = 223,171.24 : x
  2. Step 2: Convert to fraction form
    560,158.78/840,138.54 = 223,171.24/x
  3. Step 3: Cross multiply
    560,158.78x = 840,138.54 × 223,171.24
  4. Step 4: Simplify right side
    560,158.78x = 187,494,759,743.59
  5. Step 5: Solve for x
    x = 187,494,759,743.59/560,158.78
  6. Step 6: Final answer
    x = 334,717.17

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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.