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Finding the Fourth Proportional to 656,820, 906,411.36 and 355,014

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Solution

The fourth proportional to 656,820, 906,411.36 and 355,014 is: 489,919.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,820 : 906,411.36 = 355,014 : x
  2. Step 2: Convert to fraction form
    656,820/906,411.36 = 355,014/x
  3. Step 3: Cross multiply
    656,820x = 906,411.36 × 355,014
  4. Step 4: Simplify right side
    656,820x = 321,788,722,559.04
  5. Step 5: Solve for x
    x = 321,788,722,559.04/656,820
  6. Step 6: Final answer
    x = 489,919.19

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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.