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Finding the Fourth Proportional to 390,612.36, 585,914.28 and 296,421

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Solution

The fourth proportional to 390,612.36, 585,914.28 and 296,421 is: 444,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,612.36 : 585,914.28 = 296,421 : x
  2. Step 2: Convert to fraction form
    390,612.36/585,914.28 = 296,421/x
  3. Step 3: Cross multiply
    390,612.36x = 585,914.28 × 296,421
  4. Step 4: Simplify right side
    390,612.36x = 173,677,296,791.88
  5. Step 5: Solve for x
    x = 173,677,296,791.88/390,612.36
  6. Step 6: Final answer
    x = 444,628.27

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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.