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Finding the Fourth Proportional to 405,353.49, 559,387.63 and 224,065.50

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Solution

The fourth proportional to 405,353.49, 559,387.63 and 224,065.50 is: 309,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,353.49 : 559,387.63 = 224,065.50 : x
  2. Step 2: Convert to fraction form
    405,353.49/559,387.63 = 224,065.50/x
  3. Step 3: Cross multiply
    405,353.49x = 559,387.63 × 224,065.50
  4. Step 4: Simplify right side
    405,353.49x = 125,339,469,009.77
  5. Step 5: Solve for x
    x = 125,339,469,009.77/405,353.49
  6. Step 6: Final answer
    x = 309,210.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.