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Finding the Fourth Proportional to 340,000.20, 509,978.43 and 103,344.93

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Solution

The fourth proportional to 340,000.20, 509,978.43 and 103,344.93 is: 155,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,000.20 : 509,978.43 = 103,344.93 : x
  2. Step 2: Convert to fraction form
    340,000.20/509,978.43 = 103,344.93/x
  3. Step 3: Cross multiply
    340,000.20x = 509,978.43 × 103,344.93
  4. Step 4: Simplify right side
    340,000.20x = 52,703,685,149.86
  5. Step 5: Solve for x
    x = 52,703,685,149.86/340,000.20
  6. Step 6: Final answer
    x = 155,010.75

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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.