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Finding the Fourth Proportional to 477,804.64, 659,370.48 and 262,960

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Solution

The fourth proportional to 477,804.64, 659,370.48 and 262,960 is: 362,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,804.64 : 659,370.48 = 262,960 : x
  2. Step 2: Convert to fraction form
    477,804.64/659,370.48 = 262,960/x
  3. Step 3: Cross multiply
    477,804.64x = 659,370.48 × 262,960
  4. Step 4: Simplify right side
    477,804.64x = 173,388,061,420.80
  5. Step 5: Solve for x
    x = 173,388,061,420.80/477,804.64
  6. Step 6: Final answer
    x = 362,884.84

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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.