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Finding the Fourth Proportional to 471,421.40, 650,698.86 and 308,101.71

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Solution

The fourth proportional to 471,421.40, 650,698.86 and 308,101.71 is: 425,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,421.40 : 650,698.86 = 308,101.71 : x
  2. Step 2: Convert to fraction form
    471,421.40/650,698.86 = 308,101.71/x
  3. Step 3: Cross multiply
    471,421.40x = 650,698.86 × 308,101.71
  4. Step 4: Simplify right side
    471,421.40x = 200,481,431,461.05
  5. Step 5: Solve for x
    x = 200,481,431,461.05/471,421.40
  6. Step 6: Final answer
    x = 425,270.12

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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.