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Finding the Fourth Proportional to 420,464.51, 580,152.33 and 267,447

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Solution

The fourth proportional to 420,464.51, 580,152.33 and 267,447 is: 369,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,464.51 : 580,152.33 = 267,447 : x
  2. Step 2: Convert to fraction form
    420,464.51/580,152.33 = 267,447/x
  3. Step 3: Cross multiply
    420,464.51x = 580,152.33 × 267,447
  4. Step 4: Simplify right side
    420,464.51x = 155,160,000,201.51
  5. Step 5: Solve for x
    x = 155,160,000,201.51/420,464.51
  6. Step 6: Final answer
    x = 369,020.45

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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.