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Finding the Fourth Proportional to 419,090.26, 578,356.90 and 296,801.42

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Solution

The fourth proportional to 419,090.26, 578,356.90 and 296,801.42 is: 409,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,090.26 : 578,356.90 = 296,801.42 : x
  2. Step 2: Convert to fraction form
    419,090.26/578,356.90 = 296,801.42/x
  3. Step 3: Cross multiply
    419,090.26x = 578,356.90 × 296,801.42
  4. Step 4: Simplify right side
    419,090.26x = 171,657,149,186.80
  5. Step 5: Solve for x
    x = 171,657,149,186.80/419,090.26
  6. Step 6: Final answer
    x = 409,594.70

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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.