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Finding the Fourth Proportional to 403,142.64, 556,359.81 and 231,089.22

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Solution

The fourth proportional to 403,142.64, 556,359.81 and 231,089.22 is: 318,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,142.64 : 556,359.81 = 231,089.22 : x
  2. Step 2: Convert to fraction form
    403,142.64/556,359.81 = 231,089.22/x
  3. Step 3: Cross multiply
    403,142.64x = 556,359.81 × 231,089.22
  4. Step 4: Simplify right side
    403,142.64x = 128,568,754,532.25
  5. Step 5: Solve for x
    x = 128,568,754,532.25/403,142.64
  6. Step 6: Final answer
    x = 318,916.29

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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.