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Finding the Fourth Proportional to 343,296.43, 514,967.32 and 118,678.57

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Solution

The fourth proportional to 343,296.43, 514,967.32 and 118,678.57 is: 178,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,296.43 : 514,967.32 = 118,678.57 : x
  2. Step 2: Convert to fraction form
    343,296.43/514,967.32 = 118,678.57/x
  3. Step 3: Cross multiply
    343,296.43x = 514,967.32 × 118,678.57
  4. Step 4: Simplify right side
    343,296.43x = 61,115,583,995.26
  5. Step 5: Solve for x
    x = 61,115,583,995.26/343,296.43
  6. Step 6: Final answer
    x = 178,025.69

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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.