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Finding the Fourth Proportional to 288,411.32, 397,415.81 and 259,674.14

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Solution

The fourth proportional to 288,411.32, 397,415.81 and 259,674.14 is: 357,817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,411.32 : 397,415.81 = 259,674.14 : x
  2. Step 2: Convert to fraction form
    288,411.32/397,415.81 = 259,674.14/x
  3. Step 3: Cross multiply
    288,411.32x = 397,415.81 × 259,674.14
  4. Step 4: Simplify right side
    288,411.32x = 103,198,605,398.70
  5. Step 5: Solve for x
    x = 103,198,605,398.70/288,411.32
  6. Step 6: Final answer
    x = 357,817.46

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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.