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Finding the Fourth Proportional to 390,015.15, 585,022.73 and 212,868.15

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Solution

The fourth proportional to 390,015.15, 585,022.73 and 212,868.15 is: 319,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,015.15 : 585,022.73 = 212,868.15 : x
  2. Step 2: Convert to fraction form
    390,015.15/585,022.73 = 212,868.15/x
  3. Step 3: Cross multiply
    390,015.15x = 585,022.73 × 212,868.15
  4. Step 4: Simplify right side
    390,015.15x = 124,532,705,178.71
  5. Step 5: Solve for x
    x = 124,532,705,178.71/390,015.15
  6. Step 6: Final answer
    x = 319,302.23

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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.