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Finding the Fourth Proportional to 492,784.60, 738,140.10 and 409,840.60

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Solution

The fourth proportional to 492,784.60, 738,140.10 and 409,840.60 is: 613,898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,784.60 : 738,140.10 = 409,840.60 : x
  2. Step 2: Convert to fraction form
    492,784.60/738,140.10 = 409,840.60/x
  3. Step 3: Cross multiply
    492,784.60x = 738,140.10 × 409,840.60
  4. Step 4: Simplify right side
    492,784.60x = 302,519,781,468.06
  5. Step 5: Solve for x
    x = 302,519,781,468.06/492,784.60
  6. Step 6: Final answer
    x = 613,898.61

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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.