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Finding the Fourth Proportional to 656,103, 905,422.14 and 354,297

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Solution

The fourth proportional to 656,103, 905,422.14 and 354,297 is: 488,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,103 : 905,422.14 = 354,297 : x
  2. Step 2: Convert to fraction form
    656,103/905,422.14 = 354,297/x
  3. Step 3: Cross multiply
    656,103x = 905,422.14 × 354,297
  4. Step 4: Simplify right side
    656,103x = 320,788,347,935.58
  5. Step 5: Solve for x
    x = 320,788,347,935.58/656,103
  6. Step 6: Final answer
    x = 488,929.86

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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.