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Finding the Fourth Proportional to 309,689.77, 427,284.01 and 180,633.87

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Solution

The fourth proportional to 309,689.77, 427,284.01 and 180,633.87 is: 249,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,689.77 : 427,284.01 = 180,633.87 : x
  2. Step 2: Convert to fraction form
    309,689.77/427,284.01 = 180,633.87/x
  3. Step 3: Cross multiply
    309,689.77x = 427,284.01 × 180,633.87
  4. Step 4: Simplify right side
    309,689.77x = 77,181,964,315.42
  5. Step 5: Solve for x
    x = 77,181,964,315.42/309,689.77
  6. Step 6: Final answer
    x = 249,223.49

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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.