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Finding the Fourth Proportional to 492,838.60, 738,221.10 and 409,894.60

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Solution

The fourth proportional to 492,838.60, 738,221.10 and 409,894.60 is: 613,979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,838.60 : 738,221.10 = 409,894.60 : x
  2. Step 2: Convert to fraction form
    492,838.60/738,221.10 = 409,894.60/x
  3. Step 3: Cross multiply
    492,838.60x = 738,221.10 × 409,894.60
  4. Step 4: Simplify right side
    492,838.60x = 302,592,842,496.06
  5. Step 5: Solve for x
    x = 302,592,842,496.06/492,838.60
  6. Step 6: Final answer
    x = 613,979.59

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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.