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Finding the Fourth Proportional to 757,457, 1,045,324.02 and 435,268.16

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Solution

The fourth proportional to 757,457, 1,045,324.02 and 435,268.16 is: 600,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,457 : 1,045,324.02 = 435,268.16 : x
  2. Step 2: Convert to fraction form
    757,457/1,045,324.02 = 435,268.16/x
  3. Step 3: Cross multiply
    757,457x = 1,045,324.02 × 435,268.16
  4. Step 4: Simplify right side
    757,457x = 454,996,262,789.20
  5. Step 5: Solve for x
    x = 454,996,262,789.20/757,457
  6. Step 6: Final answer
    x = 600,689.23

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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.