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Finding the Fourth Proportional to 428,421.21, 638,801.62 and 416,650.63

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Solution

The fourth proportional to 428,421.21, 638,801.62 and 416,650.63 is: 621,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,421.21 : 638,801.62 = 416,650.63 : x
  2. Step 2: Convert to fraction form
    428,421.21/638,801.62 = 416,650.63/x
  3. Step 3: Cross multiply
    428,421.21x = 638,801.62 × 416,650.63
  4. Step 4: Simplify right side
    428,421.21x = 266,157,096,341.83
  5. Step 5: Solve for x
    x = 266,157,096,341.83/428,421.21
  6. Step 6: Final answer
    x = 621,250.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.