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Finding the Fourth Proportional to 471,146.04, 650,393.82 and 310,085.64

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Solution

The fourth proportional to 471,146.04, 650,393.82 and 310,085.64 is: 428,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,146.04 : 650,393.82 = 310,085.64 : x
  2. Step 2: Convert to fraction form
    471,146.04/650,393.82 = 310,085.64/x
  3. Step 3: Cross multiply
    471,146.04x = 650,393.82 × 310,085.64
  4. Step 4: Simplify right side
    471,146.04x = 201,677,783,926.75
  5. Step 5: Solve for x
    x = 201,677,783,926.75/471,146.04
  6. Step 6: Final answer
    x = 428,057.90

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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.