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Finding the Fourth Proportional to 390,482.37, 585,575.73 and 212,892.71

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Solution

The fourth proportional to 390,482.37, 585,575.73 and 212,892.71 is: 319,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,482.37 : 585,575.73 = 212,892.71 : x
  2. Step 2: Convert to fraction form
    390,482.37/585,575.73 = 212,892.71/x
  3. Step 3: Cross multiply
    390,482.37x = 585,575.73 × 212,892.71
  4. Step 4: Simplify right side
    390,482.37x = 124,664,801,142.05
  5. Step 5: Solve for x
    x = 124,664,801,142.05/390,482.37
  6. Step 6: Final answer
    x = 319,258.46

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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.