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Finding the Fourth Proportional to 390,415.08, 585,228.96 and 296,724

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Solution

The fourth proportional to 390,415.08, 585,228.96 and 296,724 is: 444,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,415.08 : 585,228.96 = 296,724 : x
  2. Step 2: Convert to fraction form
    390,415.08/585,228.96 = 296,724/x
  3. Step 3: Cross multiply
    390,415.08x = 585,228.96 × 296,724
  4. Step 4: Simplify right side
    390,415.08x = 173,651,477,927.04
  5. Step 5: Solve for x
    x = 173,651,477,927.04/390,415.08
  6. Step 6: Final answer
    x = 444,786.81

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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.