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Finding the Fourth Proportional to 340,382.60, 509,364.30 and 296,491.40

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Solution

The fourth proportional to 340,382.60, 509,364.30 and 296,491.40 is: 443,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,382.60 : 509,364.30 = 296,491.40 : x
  2. Step 2: Convert to fraction form
    340,382.60/509,364.30 = 296,491.40/x
  3. Step 3: Cross multiply
    340,382.60x = 509,364.30 × 296,491.40
  4. Step 4: Simplify right side
    340,382.60x = 151,022,134,417.02
  5. Step 5: Solve for x
    x = 151,022,134,417.02/340,382.60
  6. Step 6: Final answer
    x = 443,683.47

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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.