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Finding the Fourth Proportional to 254,522.80, 381,827.40 and 77,028.40

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Solution

The fourth proportional to 254,522.80, 381,827.40 and 77,028.40 is: 115,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,522.80 : 381,827.40 = 77,028.40 : x
  2. Step 2: Convert to fraction form
    254,522.80/381,827.40 = 77,028.40/x
  3. Step 3: Cross multiply
    254,522.80x = 381,827.40 × 77,028.40
  4. Step 4: Simplify right side
    254,522.80x = 29,411,553,698.16
  5. Step 5: Solve for x
    x = 29,411,553,698.16/254,522.80
  6. Step 6: Final answer
    x = 115,555.67

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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.