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Finding the Fourth Proportional to 405,451.12, 559,479.72 and 224,133.88

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Solution

The fourth proportional to 405,451.12, 559,479.72 and 224,133.88 is: 309,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,451.12 : 559,479.72 = 224,133.88 : x
  2. Step 2: Convert to fraction form
    405,451.12/559,479.72 = 224,133.88/x
  3. Step 3: Cross multiply
    405,451.12x = 559,479.72 × 224,133.88
  4. Step 4: Simplify right side
    405,451.12x = 125,398,360,424.91
  5. Step 5: Solve for x
    x = 125,398,360,424.91/405,451.12
  6. Step 6: Final answer
    x = 309,281.08

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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.