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Finding the Fourth Proportional to 228,638.40, 342,968.40 and 70,977.30

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Solution

The fourth proportional to 228,638.40, 342,968.40 and 70,977.30 is: 106,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,638.40 : 342,968.40 = 70,977.30 : x
  2. Step 2: Convert to fraction form
    228,638.40/342,968.40 = 70,977.30/x
  3. Step 3: Cross multiply
    228,638.40x = 342,968.40 × 70,977.30
  4. Step 4: Simplify right side
    228,638.40x = 24,342,971,017.32
  5. Step 5: Solve for x
    x = 24,342,971,017.32/228,638.40
  6. Step 6: Final answer
    x = 106,469.30

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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.