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Finding the Fourth Proportional to 1,309,734.76, 1,964,929.10 and 456,818.67

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Solution

The fourth proportional to 1,309,734.76, 1,964,929.10 and 456,818.67 is: 685,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,734.76 : 1,964,929.10 = 456,818.67 : x
  2. Step 2: Convert to fraction form
    1,309,734.76/1,964,929.10 = 456,818.67/x
  3. Step 3: Cross multiply
    1,309,734.76x = 1,964,929.10 × 456,818.67
  4. Step 4: Simplify right side
    1,309,734.76x = 897,616,289,423.70
  5. Step 5: Solve for x
    x = 897,616,289,423.70/1,309,734.76
  6. Step 6: Final answer
    x = 685,342.04

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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.