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Finding the Fourth Proportional to 405,548.69, 559,660.83 and 224,272.82

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Solution

The fourth proportional to 405,548.69, 559,660.83 and 224,272.82 is: 309,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,548.69 : 559,660.83 = 224,272.82 : x
  2. Step 2: Convert to fraction form
    405,548.69/559,660.83 = 224,272.82/x
  3. Step 3: Cross multiply
    405,548.69x = 559,660.83 × 224,272.82
  4. Step 4: Simplify right side
    405,548.69x = 125,516,711,466.28
  5. Step 5: Solve for x
    x = 125,516,711,466.28/405,548.69
  6. Step 6: Final answer
    x = 309,498.50

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1.5x scale

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.