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Finding the Fourth Proportional to 656,973, 906,624.90 and 355,169.16

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Solution

The fourth proportional to 656,973, 906,624.90 and 355,169.16 is: 490,134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,973 : 906,624.90 = 355,169.16 : x
  2. Step 2: Convert to fraction form
    656,973/906,624.90 = 355,169.16/x
  3. Step 3: Cross multiply
    656,973x = 906,624.90 × 355,169.16
  4. Step 4: Simplify right side
    656,973x = 322,005,204,168.08
  5. Step 5: Solve for x
    x = 322,005,204,168.08/656,973
  6. Step 6: Final answer
    x = 490,134.61

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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.