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Finding the Fourth Proportional to 456,118, 684,199.68 and 323,148.40

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Solution

The fourth proportional to 456,118, 684,199.68 and 323,148.40 is: 484,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,118 : 684,199.68 = 323,148.40 : x
  2. Step 2: Convert to fraction form
    456,118/684,199.68 = 323,148.40/x
  3. Step 3: Cross multiply
    456,118x = 684,199.68 × 323,148.40
  4. Step 4: Simplify right side
    456,118x = 221,098,031,872.51
  5. Step 5: Solve for x
    x = 221,098,031,872.51/456,118
  6. Step 6: Final answer
    x = 484,738.67

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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.