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Finding the Fourth Proportional to 419,247.38, 578,613.65 and 238,017.98

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Solution

The fourth proportional to 419,247.38, 578,613.65 and 238,017.98 is: 328,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,247.38 : 578,613.65 = 238,017.98 : x
  2. Step 2: Convert to fraction form
    419,247.38/578,613.65 = 238,017.98/x
  3. Step 3: Cross multiply
    419,247.38x = 578,613.65 × 238,017.98
  4. Step 4: Simplify right side
    419,247.38x = 137,720,452,429.87
  5. Step 5: Solve for x
    x = 137,720,452,429.87/419,247.38
  6. Step 6: Final answer
    x = 328,494.48

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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.