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Finding the Fourth Proportional to 277,737.60, 416,563.20 and 78,038.40

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Solution

The fourth proportional to 277,737.60, 416,563.20 and 78,038.40 is: 117,045.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,737.60 : 416,563.20 = 78,038.40 : x
  2. Step 2: Convert to fraction form
    277,737.60/416,563.20 = 78,038.40/x
  3. Step 3: Cross multiply
    277,737.60x = 416,563.20 × 78,038.40
  4. Step 4: Simplify right side
    277,737.60x = 32,507,925,626.88
  5. Step 5: Solve for x
    x = 32,507,925,626.88/277,737.60
  6. Step 6: Final answer
    x = 117,045.46

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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.