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Finding the Fourth Proportional to 475,494, 714,129.48 and 418,588.08

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Solution

The fourth proportional to 475,494, 714,129.48 and 418,588.08 is: 628,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,494 : 714,129.48 = 418,588.08 : x
  2. Step 2: Convert to fraction form
    475,494/714,129.48 = 418,588.08/x
  3. Step 3: Cross multiply
    475,494x = 714,129.48 × 418,588.08
  4. Step 4: Simplify right side
    475,494x = 298,926,087,904.60
  5. Step 5: Solve for x
    x = 298,926,087,904.60/475,494
  6. Step 6: Final answer
    x = 628,664.27

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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.