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Finding the Fourth Proportional to 390,340.92, 585,856.98 and 200,934.84

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Solution

The fourth proportional to 390,340.92, 585,856.98 and 200,934.84 is: 301,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,340.92 : 585,856.98 = 200,934.84 : x
  2. Step 2: Convert to fraction form
    390,340.92/585,856.98 = 200,934.84/x
  3. Step 3: Cross multiply
    390,340.92x = 585,856.98 × 200,934.84
  4. Step 4: Simplify right side
    390,340.92x = 117,719,078,539.18
  5. Step 5: Solve for x
    x = 117,719,078,539.18/390,340.92
  6. Step 6: Final answer
    x = 301,580.16

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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.