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Finding the Fourth Proportional to 405,298.56, 559,340.97 and 224,006.59

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Solution

The fourth proportional to 405,298.56, 559,340.97 and 224,006.59 is: 309,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,298.56 : 559,340.97 = 224,006.59 : x
  2. Step 2: Convert to fraction form
    405,298.56/559,340.97 = 224,006.59/x
  3. Step 3: Cross multiply
    405,298.56x = 559,340.97 × 224,006.59
  4. Step 4: Simplify right side
    405,298.56x = 125,296,063,336.99
  5. Step 5: Solve for x
    x = 125,296,063,336.99/405,298.56
  6. Step 6: Final answer
    x = 309,145.10

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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.