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Finding the Fourth Proportional to 530,705.61, 796,369.46 and 380,784.33

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Solution

The fourth proportional to 530,705.61, 796,369.46 and 380,784.33 is: 571,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,705.61 : 796,369.46 = 380,784.33 : x
  2. Step 2: Convert to fraction form
    530,705.61/796,369.46 = 380,784.33/x
  3. Step 3: Cross multiply
    530,705.61x = 796,369.46 × 380,784.33
  4. Step 4: Simplify right side
    530,705.61x = 303,245,009,354.64
  5. Step 5: Solve for x
    x = 303,245,009,354.64/530,705.61
  6. Step 6: Final answer
    x = 571,399.67

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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.