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Finding the Fourth Proportional to 353,342.94, 530,009.01 and 142,831.50

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Solution

The fourth proportional to 353,342.94, 530,009.01 and 142,831.50 is: 214,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,342.94 : 530,009.01 = 142,831.50 : x
  2. Step 2: Convert to fraction form
    353,342.94/530,009.01 = 142,831.50/x
  3. Step 3: Cross multiply
    353,342.94x = 530,009.01 × 142,831.50
  4. Step 4: Simplify right side
    353,342.94x = 75,701,981,911.82
  5. Step 5: Solve for x
    x = 75,701,981,911.82/353,342.94
  6. Step 6: Final answer
    x = 214,245.07

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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.