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Finding the Fourth Proportional to 540,778.92, 810,458.81 and 397,955.67

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Solution

The fourth proportional to 540,778.92, 810,458.81 and 397,955.67 is: 596,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,778.92 : 810,458.81 = 397,955.67 : x
  2. Step 2: Convert to fraction form
    540,778.92/810,458.81 = 397,955.67/x
  3. Step 3: Cross multiply
    540,778.92x = 810,458.81 × 397,955.67
  4. Step 4: Simplify right side
    540,778.92x = 322,526,677,442.79
  5. Step 5: Solve for x
    x = 322,526,677,442.79/540,778.92
  6. Step 6: Final answer
    x = 596,411.34

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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.