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Finding the Fourth Proportional to 340,339.20, 469,541.76 and 339,814.32

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Solution

The fourth proportional to 340,339.20, 469,541.76 and 339,814.32 is: 468,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,339.20 : 469,541.76 = 339,814.32 : x
  2. Step 2: Convert to fraction form
    340,339.20/469,541.76 = 339,814.32/x
  3. Step 3: Cross multiply
    340,339.20x = 469,541.76 × 339,814.32
  4. Step 4: Simplify right side
    340,339.20x = 159,557,013,886.00
  5. Step 5: Solve for x
    x = 159,557,013,886.00/340,339.20
  6. Step 6: Final answer
    x = 468,817.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.