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Finding the Fourth Proportional to 328,856.40, 493,298.32 and 104,211.87

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Solution

The fourth proportional to 328,856.40, 493,298.32 and 104,211.87 is: 156,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,856.40 : 493,298.32 = 104,211.87 : x
  2. Step 2: Convert to fraction form
    328,856.40/493,298.32 = 104,211.87/x
  3. Step 3: Cross multiply
    328,856.40x = 493,298.32 × 104,211.87
  4. Step 4: Simplify right side
    328,856.40x = 51,407,540,395.06
  5. Step 5: Solve for x
    x = 51,407,540,395.06/328,856.40
  6. Step 6: Final answer
    x = 156,322.15

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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.