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Finding the Fourth Proportional to 401,685.21, 602,503.07 and 165,021.75

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Solution

The fourth proportional to 401,685.21, 602,503.07 and 165,021.75 is: 247,522.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,685.21 : 602,503.07 = 165,021.75 : x
  2. Step 2: Convert to fraction form
    401,685.21/602,503.07 = 165,021.75/x
  3. Step 3: Cross multiply
    401,685.21x = 602,503.07 × 165,021.75
  4. Step 4: Simplify right side
    401,685.21x = 99,426,110,166.66
  5. Step 5: Solve for x
    x = 99,426,110,166.66/401,685.21
  6. Step 6: Final answer
    x = 247,522.46

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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.