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Finding the Fourth Proportional to 390,167.60, 585,251.40 and 201,210.80

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Solution

The fourth proportional to 390,167.60, 585,251.40 and 201,210.80 is: 301,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,167.60 : 585,251.40 = 201,210.80 : x
  2. Step 2: Convert to fraction form
    390,167.60/585,251.40 = 201,210.80/x
  3. Step 3: Cross multiply
    390,167.60x = 585,251.40 × 201,210.80
  4. Step 4: Simplify right side
    390,167.60x = 117,758,902,395.12
  5. Step 5: Solve for x
    x = 117,758,902,395.12/390,167.60
  6. Step 6: Final answer
    x = 301,816.20

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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.