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Finding the Fourth Proportional to 656,818, 906,408.60 and 355,012

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Solution

The fourth proportional to 656,818, 906,408.60 and 355,012 is: 489,916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,818 : 906,408.60 = 355,012 : x
  2. Step 2: Convert to fraction form
    656,818/906,408.60 = 355,012/x
  3. Step 3: Cross multiply
    656,818x = 906,408.60 × 355,012
  4. Step 4: Simplify right side
    656,818x = 321,785,929,903.20
  5. Step 5: Solve for x
    x = 321,785,929,903.20/656,818
  6. Step 6: Final answer
    x = 489,916.43

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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.