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Finding the Fourth Proportional to 613,658.88, 920,466.45 and 214,298.10

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Solution

The fourth proportional to 613,658.88, 920,466.45 and 214,298.10 is: 321,439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,658.88 : 920,466.45 = 214,298.10 : x
  2. Step 2: Convert to fraction form
    613,658.88/920,466.45 = 214,298.10/x
  3. Step 3: Cross multiply
    613,658.88x = 920,466.45 × 214,298.10
  4. Step 4: Simplify right side
    613,658.88x = 197,254,211,348.75
  5. Step 5: Solve for x
    x = 197,254,211,348.75/613,658.88
  6. Step 6: Final answer
    x = 321,439.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.