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Finding the Fourth Proportional to 464,448.96, 640,338 and 300,814.32

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Solution

The fourth proportional to 464,448.96, 640,338 and 300,814.32 is: 414,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,448.96 : 640,338 = 300,814.32 : x
  2. Step 2: Convert to fraction form
    464,448.96/640,338 = 300,814.32/x
  3. Step 3: Cross multiply
    464,448.96x = 640,338 × 300,814.32
  4. Step 4: Simplify right side
    464,448.96x = 192,622,840,040.16
  5. Step 5: Solve for x
    x = 192,622,840,040.16/464,448.96
  6. Step 6: Final answer
    x = 414,734.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.