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Finding the Fourth Proportional to 699,717.23, 965,907.71 and 470,407.52

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Solution

The fourth proportional to 699,717.23, 965,907.71 and 470,407.52 is: 649,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,717.23 : 965,907.71 = 470,407.52 : x
  2. Step 2: Convert to fraction form
    699,717.23/965,907.71 = 470,407.52/x
  3. Step 3: Cross multiply
    699,717.23x = 965,907.71 × 470,407.52
  4. Step 4: Simplify right side
    699,717.23x = 454,370,250,409.98
  5. Step 5: Solve for x
    x = 454,370,250,409.98/699,717.23
  6. Step 6: Final answer
    x = 649,362.67

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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.