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Finding the Fourth Proportional to 286,993.76, 430,492.80 and 100,004.96

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Solution

The fourth proportional to 286,993.76, 430,492.80 and 100,004.96 is: 150,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,993.76 : 430,492.80 = 100,004.96 : x
  2. Step 2: Convert to fraction form
    286,993.76/430,492.80 = 100,004.96/x
  3. Step 3: Cross multiply
    286,993.76x = 430,492.80 × 100,004.96
  4. Step 4: Simplify right side
    286,993.76x = 43,051,415,244.29
  5. Step 5: Solve for x
    x = 43,051,415,244.29/286,993.76
  6. Step 6: Final answer
    x = 150,008.19

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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.