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Finding the Fourth Proportional to 260,454.88, 390,415.91 and 176,223.94

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Solution

The fourth proportional to 260,454.88, 390,415.91 and 176,223.94 is: 264,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,454.88 : 390,415.91 = 176,223.94 : x
  2. Step 2: Convert to fraction form
    260,454.88/390,415.91 = 176,223.94/x
  3. Step 3: Cross multiply
    260,454.88x = 390,415.91 × 176,223.94
  4. Step 4: Simplify right side
    260,454.88x = 68,800,628,041.73
  5. Step 5: Solve for x
    x = 68,800,628,041.73/260,454.88
  6. Step 6: Final answer
    x = 264,155.65

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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.