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Finding the Fourth Proportional to 277,504.50, 416,322.36 and 90,516

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Solution

The fourth proportional to 277,504.50, 416,322.36 and 90,516 is: 135,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,504.50 : 416,322.36 = 90,516 : x
  2. Step 2: Convert to fraction form
    277,504.50/416,322.36 = 90,516/x
  3. Step 3: Cross multiply
    277,504.50x = 416,322.36 × 90,516
  4. Step 4: Simplify right side
    277,504.50x = 37,683,834,737.76
  5. Step 5: Solve for x
    x = 37,683,834,737.76/277,504.50
  6. Step 6: Final answer
    x = 135,795.40

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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.