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Finding the Fourth Proportional to 578,438.46, 867,989.64 and 451,722.96

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Solution

The fourth proportional to 578,438.46, 867,989.64 and 451,722.96 is: 677,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,438.46 : 867,989.64 = 451,722.96 : x
  2. Step 2: Convert to fraction form
    578,438.46/867,989.64 = 451,722.96/x
  3. Step 3: Cross multiply
    578,438.46x = 867,989.64 × 451,722.96
  4. Step 4: Simplify right side
    578,438.46x = 392,090,849,430.13
  5. Step 5: Solve for x
    x = 392,090,849,430.13/578,438.46
  6. Step 6: Final answer
    x = 677,843.67

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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.