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Finding the Fourth Proportional to 286,752.10, 430,198.90 and 142,726.54

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Solution

The fourth proportional to 286,752.10, 430,198.90 and 142,726.54 is: 214,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,752.10 : 430,198.90 = 142,726.54 : x
  2. Step 2: Convert to fraction form
    286,752.10/430,198.90 = 142,726.54/x
  3. Step 3: Cross multiply
    286,752.10x = 430,198.90 × 142,726.54
  4. Step 4: Simplify right side
    286,752.10x = 61,400,800,508.81
  5. Step 5: Solve for x
    x = 61,400,800,508.81/286,752.10
  6. Step 6: Final answer
    x = 214,125.02

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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.