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Finding the Fourth Proportional to 342,995.10, 514,284.87 and 153,420.14

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Solution

The fourth proportional to 342,995.10, 514,284.87 and 153,420.14 is: 230,037.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,995.10 : 514,284.87 = 153,420.14 : x
  2. Step 2: Convert to fraction form
    342,995.10/514,284.87 = 153,420.14/x
  3. Step 3: Cross multiply
    342,995.10x = 514,284.87 × 153,420.14
  4. Step 4: Simplify right side
    342,995.10x = 78,901,654,183.86
  5. Step 5: Solve for x
    x = 78,901,654,183.86/342,995.10
  6. Step 6: Final answer
    x = 230,037.26

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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.