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Finding the Fourth Proportional to 419,008.74, 578,245.18 and 237,728.32

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Solution

The fourth proportional to 419,008.74, 578,245.18 and 237,728.32 is: 328,072.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,008.74 : 578,245.18 = 237,728.32 : x
  2. Step 2: Convert to fraction form
    419,008.74/578,245.18 = 237,728.32/x
  3. Step 3: Cross multiply
    419,008.74x = 578,245.18 × 237,728.32
  4. Step 4: Simplify right side
    419,008.74x = 137,465,255,189.50
  5. Step 5: Solve for x
    x = 137,465,255,189.50/419,008.74
  6. Step 6: Final answer
    x = 328,072.52

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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.