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Finding the Fourth Proportional to 430,868.82, 646,164.29 and 142,626.67

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Solution

The fourth proportional to 430,868.82, 646,164.29 and 142,626.67 is: 213,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,868.82 : 646,164.29 = 142,626.67 : x
  2. Step 2: Convert to fraction form
    430,868.82/646,164.29 = 142,626.67/x
  3. Step 3: Cross multiply
    430,868.82x = 646,164.29 × 142,626.67
  4. Step 4: Simplify right side
    430,868.82x = 92,160,262,529.17
  5. Step 5: Solve for x
    x = 92,160,262,529.17/430,868.82
  6. Step 6: Final answer
    x = 213,894.02

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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.