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Finding the Fourth Proportional to 309,423.98, 463,416.26 and 300,910.40

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Solution

The fourth proportional to 309,423.98, 463,416.26 and 300,910.40 is: 450,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,423.98 : 463,416.26 = 300,910.40 : x
  2. Step 2: Convert to fraction form
    309,423.98/463,416.26 = 300,910.40/x
  3. Step 3: Cross multiply
    309,423.98x = 463,416.26 × 300,910.40
  4. Step 4: Simplify right side
    309,423.98x = 139,446,772,163.10
  5. Step 5: Solve for x
    x = 139,446,772,163.10/309,423.98
  6. Step 6: Final answer
    x = 450,665.69

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1.5x scale

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.