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Finding the Fourth Proportional to 405,294.81, 559,335.79 and 224,002.83

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Solution

The fourth proportional to 405,294.81, 559,335.79 and 224,002.83 is: 309,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,294.81 : 559,335.79 = 224,002.83 : x
  2. Step 2: Convert to fraction form
    405,294.81/559,335.79 = 224,002.83/x
  3. Step 3: Cross multiply
    405,294.81x = 559,335.79 × 224,002.83
  4. Step 4: Simplify right side
    405,294.81x = 125,292,802,257.80
  5. Step 5: Solve for x
    x = 125,292,802,257.80/405,294.81
  6. Step 6: Final answer
    x = 309,139.92

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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.