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Finding the Fourth Proportional to 601,893.38, 830,476.43 and 408,327.48

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Solution

The fourth proportional to 601,893.38, 830,476.43 and 408,327.48 is: 563,399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,893.38 : 830,476.43 = 408,327.48 : x
  2. Step 2: Convert to fraction form
    601,893.38/830,476.43 = 408,327.48/x
  3. Step 3: Cross multiply
    601,893.38x = 830,476.43 × 408,327.48
  4. Step 4: Simplify right side
    601,893.38x = 339,106,341,667.28
  5. Step 5: Solve for x
    x = 339,106,341,667.28/601,893.38
  6. Step 6: Final answer
    x = 563,399.36

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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.