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Finding the Fourth Proportional to 307,559.64, 424,606.68 and 200,075.88

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Solution

The fourth proportional to 307,559.64, 424,606.68 and 200,075.88 is: 276,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,559.64 : 424,606.68 = 200,075.88 : x
  2. Step 2: Convert to fraction form
    307,559.64/424,606.68 = 200,075.88/x
  3. Step 3: Cross multiply
    307,559.64x = 424,606.68 × 200,075.88
  4. Step 4: Simplify right side
    307,559.64x = 84,953,555,154.88
  5. Step 5: Solve for x
    x = 84,953,555,154.88/307,559.64
  6. Step 6: Final answer
    x = 276,218.15

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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.