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Finding the Fourth Proportional to 333,238.96, 459,542.12 and 305,578.28

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Solution

The fourth proportional to 333,238.96, 459,542.12 and 305,578.28 is: 421,397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,238.96 : 459,542.12 = 305,578.28 : x
  2. Step 2: Convert to fraction form
    333,238.96/459,542.12 = 305,578.28/x
  3. Step 3: Cross multiply
    333,238.96x = 459,542.12 × 305,578.28
  4. Step 4: Simplify right side
    333,238.96x = 140,426,090,617.15
  5. Step 5: Solve for x
    x = 140,426,090,617.15/333,238.96
  6. Step 6: Final answer
    x = 421,397.58

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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.