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Finding the Fourth Proportional to 477,319.02, 715,941.06 and 277,512

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Solution

The fourth proportional to 477,319.02, 715,941.06 and 277,512 is: 416,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,319.02 : 715,941.06 = 277,512 : x
  2. Step 2: Convert to fraction form
    477,319.02/715,941.06 = 277,512/x
  3. Step 3: Cross multiply
    477,319.02x = 715,941.06 × 277,512
  4. Step 4: Simplify right side
    477,319.02x = 198,682,235,442.72
  5. Step 5: Solve for x
    x = 198,682,235,442.72/477,319.02
  6. Step 6: Final answer
    x = 416,246.22

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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.