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Finding the Fourth Proportional to 645,749.76, 968,378.88 and 295,296

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Solution

The fourth proportional to 645,749.76, 968,378.88 and 295,296 is: 442,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,749.76 : 968,378.88 = 295,296 : x
  2. Step 2: Convert to fraction form
    645,749.76/968,378.88 = 295,296/x
  3. Step 3: Cross multiply
    645,749.76x = 968,378.88 × 295,296
  4. Step 4: Simplify right side
    645,749.76x = 285,958,409,748.48
  5. Step 5: Solve for x
    x = 285,958,409,748.48/645,749.76
  6. Step 6: Final answer
    x = 442,831.62

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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.