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Finding the Fourth Proportional to 314,956.23, 472,430.24 and 78,300.96

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Solution

The fourth proportional to 314,956.23, 472,430.24 and 78,300.96 is: 117,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,956.23 : 472,430.24 = 78,300.96 : x
  2. Step 2: Convert to fraction form
    314,956.23/472,430.24 = 78,300.96/x
  3. Step 3: Cross multiply
    314,956.23x = 472,430.24 × 78,300.96
  4. Step 4: Simplify right side
    314,956.23x = 36,991,741,325.03
  5. Step 5: Solve for x
    x = 36,991,741,325.03/314,956.23
  6. Step 6: Final answer
    x = 117,450.42

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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.