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Finding the Fourth Proportional to 401,064.60, 601,596.90 and 398,731.80

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Solution

The fourth proportional to 401,064.60, 601,596.90 and 398,731.80 is: 598,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,064.60 : 601,596.90 = 398,731.80 : x
  2. Step 2: Convert to fraction form
    401,064.60/601,596.90 = 398,731.80/x
  3. Step 3: Cross multiply
    401,064.60x = 601,596.90 × 398,731.80
  4. Step 4: Simplify right side
    401,064.60x = 239,875,814,811.42
  5. Step 5: Solve for x
    x = 239,875,814,811.42/401,064.60
  6. Step 6: Final answer
    x = 598,097.70

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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.