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Finding the Fourth Proportional to 343,865.90, 514,814.70 and 304,499.90

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Solution

The fourth proportional to 343,865.90, 514,814.70 and 304,499.90 is: 455,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,865.90 : 514,814.70 = 304,499.90 : x
  2. Step 2: Convert to fraction form
    343,865.90/514,814.70 = 304,499.90/x
  3. Step 3: Cross multiply
    343,865.90x = 514,814.70 × 304,499.90
  4. Step 4: Simplify right side
    343,865.90x = 156,761,024,668.53
  5. Step 5: Solve for x
    x = 156,761,024,668.53/343,865.90
  6. Step 6: Final answer
    x = 455,878.37

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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.