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Finding the Fourth Proportional to 477,642.61, 659,146.78 and 262,778.06

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Solution

The fourth proportional to 477,642.61, 659,146.78 and 262,778.06 is: 362,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,642.61 : 659,146.78 = 262,778.06 : x
  2. Step 2: Convert to fraction form
    477,642.61/659,146.78 = 262,778.06/x
  3. Step 3: Cross multiply
    477,642.61x = 659,146.78 × 262,778.06
  4. Step 4: Simplify right side
    477,642.61x = 173,209,314,079.99
  5. Step 5: Solve for x
    x = 173,209,314,079.99/477,642.61
  6. Step 6: Final answer
    x = 362,633.71

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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.