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Finding the Fourth Proportional to 477,638.90, 659,141.64 and 262,774.35

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Solution

The fourth proportional to 477,638.90, 659,141.64 and 262,774.35 is: 362,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,638.90 : 659,141.64 = 262,774.35 : x
  2. Step 2: Convert to fraction form
    477,638.90/659,141.64 = 262,774.35/x
  3. Step 3: Cross multiply
    477,638.90x = 659,141.64 × 262,774.35
  4. Step 4: Simplify right side
    477,638.90x = 173,205,516,008.93
  5. Step 5: Solve for x
    x = 173,205,516,008.93/477,638.90
  6. Step 6: Final answer
    x = 362,628.58

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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.