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Finding the Fourth Proportional to 355,609.71, 533,831.31 and 280,780.29

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Solution

The fourth proportional to 355,609.71, 533,831.31 and 280,780.29 is: 421,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,609.71 : 533,831.31 = 280,780.29 : x
  2. Step 2: Convert to fraction form
    355,609.71/533,831.31 = 280,780.29/x
  3. Step 3: Cross multiply
    355,609.71x = 533,831.31 × 280,780.29
  4. Step 4: Simplify right side
    355,609.71x = 149,889,310,032.88
  5. Step 5: Solve for x
    x = 149,889,310,032.88/355,609.71
  6. Step 6: Final answer
    x = 421,499.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.