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Finding the Fourth Proportional to 508,262.58, 701,411.72 and 278,831.64

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Solution

The fourth proportional to 508,262.58, 701,411.72 and 278,831.64 is: 384,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,262.58 : 701,411.72 = 278,831.64 : x
  2. Step 2: Convert to fraction form
    508,262.58/701,411.72 = 278,831.64/x
  3. Step 3: Cross multiply
    508,262.58x = 701,411.72 × 278,831.64
  4. Step 4: Simplify right side
    508,262.58x = 195,575,780,202.82
  5. Step 5: Solve for x
    x = 195,575,780,202.82/508,262.58
  6. Step 6: Final answer
    x = 384,792.80

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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.