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Finding the Fourth Proportional to 477,830.54, 659,131.88 and 298,671.50

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Solution

The fourth proportional to 477,830.54, 659,131.88 and 298,671.50 is: 411,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,830.54 : 659,131.88 = 298,671.50 : x
  2. Step 2: Convert to fraction form
    477,830.54/659,131.88 = 298,671.50/x
  3. Step 3: Cross multiply
    477,830.54x = 659,131.88 × 298,671.50
  4. Step 4: Simplify right side
    477,830.54x = 196,863,907,297.42
  5. Step 5: Solve for x
    x = 196,863,907,297.42/477,830.54
  6. Step 6: Final answer
    x = 411,995.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.