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Finding the Fourth Proportional to 315,586.53, 470,600.28 and 312,743.43

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Solution

The fourth proportional to 315,586.53, 470,600.28 and 312,743.43 is: 466,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,586.53 : 470,600.28 = 312,743.43 : x
  2. Step 2: Convert to fraction form
    315,586.53/470,600.28 = 312,743.43/x
  3. Step 3: Cross multiply
    315,586.53x = 470,600.28 × 312,743.43
  4. Step 4: Simplify right side
    315,586.53x = 147,177,145,726.16
  5. Step 5: Solve for x
    x = 147,177,145,726.16/315,586.53
  6. Step 6: Final answer
    x = 466,360.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.