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Finding the Fourth Proportional to 390,423.20, 585,231.60 and 212,554.40

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Solution

The fourth proportional to 390,423.20, 585,231.60 and 212,554.40 is: 318,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,423.20 : 585,231.60 = 212,554.40 : x
  2. Step 2: Convert to fraction form
    390,423.20/585,231.60 = 212,554.40/x
  3. Step 3: Cross multiply
    390,423.20x = 585,231.60 × 212,554.40
  4. Step 4: Simplify right side
    390,423.20x = 124,393,551,599.04
  5. Step 5: Solve for x
    x = 124,393,551,599.04/390,423.20
  6. Step 6: Final answer
    x = 318,612.09

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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.