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Finding the Fourth Proportional to 277,428.75, 416,167.72 and 77,751.55

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Solution

The fourth proportional to 277,428.75, 416,167.72 and 77,751.55 is: 116,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,428.75 : 416,167.72 = 77,751.55 : x
  2. Step 2: Convert to fraction form
    277,428.75/416,167.72 = 77,751.55/x
  3. Step 3: Cross multiply
    277,428.75x = 416,167.72 × 77,751.55
  4. Step 4: Simplify right side
    277,428.75x = 32,357,683,712.21
  5. Step 5: Solve for x
    x = 32,357,683,712.21/277,428.75
  6. Step 6: Final answer
    x = 116,634.21

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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.