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Finding the Fourth Proportional to 409,656.60, 613,448.10 and 326,712.60

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Solution

The fourth proportional to 409,656.60, 613,448.10 and 326,712.60 is: 489,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,656.60 : 613,448.10 = 326,712.60 : x
  2. Step 2: Convert to fraction form
    409,656.60/613,448.10 = 326,712.60/x
  3. Step 3: Cross multiply
    409,656.60x = 613,448.10 × 326,712.60
  4. Step 4: Simplify right side
    409,656.60x = 200,421,223,716.06
  5. Step 5: Solve for x
    x = 200,421,223,716.06/409,656.60
  6. Step 6: Final answer
    x = 489,242.02

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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.