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Finding the Fourth Proportional to 656,135, 905,466.30 and 354,329

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Solution

The fourth proportional to 656,135, 905,466.30 and 354,329 is: 488,974.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,135 : 905,466.30 = 354,329 : x
  2. Step 2: Convert to fraction form
    656,135/905,466.30 = 354,329/x
  3. Step 3: Cross multiply
    656,135x = 905,466.30 × 354,329
  4. Step 4: Simplify right side
    656,135x = 320,832,968,612.70
  5. Step 5: Solve for x
    x = 320,832,968,612.70/656,135
  6. Step 6: Final answer
    x = 488,974.02

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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.