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Finding the Fourth Proportional to 431,515.12, 646,681.56 and 273,854.20

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Solution

The fourth proportional to 431,515.12, 646,681.56 and 273,854.20 is: 410,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,515.12 : 646,681.56 = 273,854.20 : x
  2. Step 2: Convert to fraction form
    431,515.12/646,681.56 = 273,854.20/x
  3. Step 3: Cross multiply
    431,515.12x = 646,681.56 × 273,854.20
  4. Step 4: Simplify right side
    431,515.12x = 177,096,461,268.55
  5. Step 5: Solve for x
    x = 177,096,461,268.55/431,515.12
  6. Step 6: Final answer
    x = 410,406.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.