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Finding the Fourth Proportional to 259,256.40, 388,577.40 and 109,496.40

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Solution

The fourth proportional to 259,256.40, 388,577.40 and 109,496.40 is: 164,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,256.40 : 388,577.40 = 109,496.40 : x
  2. Step 2: Convert to fraction form
    259,256.40/388,577.40 = 109,496.40/x
  3. Step 3: Cross multiply
    259,256.40x = 388,577.40 × 109,496.40
  4. Step 4: Simplify right side
    259,256.40x = 42,547,826,421.36
  5. Step 5: Solve for x
    x = 42,547,826,421.36/259,256.40
  6. Step 6: Final answer
    x = 164,114.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.