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Finding the Fourth Proportional to 403,259.71, 556,433.28 and 231,146

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Solution

The fourth proportional to 403,259.71, 556,433.28 and 231,146 is: 318,944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,259.71 : 556,433.28 = 231,146 : x
  2. Step 2: Convert to fraction form
    403,259.71/556,433.28 = 231,146/x
  3. Step 3: Cross multiply
    403,259.71x = 556,433.28 × 231,146
  4. Step 4: Simplify right side
    403,259.71x = 128,617,326,938.88
  5. Step 5: Solve for x
    x = 128,617,326,938.88/403,259.71
  6. Step 6: Final answer
    x = 318,944.15

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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.