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Finding the Fourth Proportional to 208,112.40, 311,477.40 and 145,904.40

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Solution

The fourth proportional to 208,112.40, 311,477.40 and 145,904.40 is: 218,372.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,112.40 : 311,477.40 = 145,904.40 : x
  2. Step 2: Convert to fraction form
    208,112.40/311,477.40 = 145,904.40/x
  3. Step 3: Cross multiply
    208,112.40x = 311,477.40 × 145,904.40
  4. Step 4: Simplify right side
    208,112.40x = 45,445,923,160.56
  5. Step 5: Solve for x
    x = 45,445,923,160.56/208,112.40
  6. Step 6: Final answer
    x = 218,372.01

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1.5x scale

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.