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Finding the Fourth Proportional to 286,858.32, 430,214.40 and 203,402.40

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Solution

The fourth proportional to 286,858.32, 430,214.40 and 203,402.40 is: 305,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,858.32 : 430,214.40 = 203,402.40 : x
  2. Step 2: Convert to fraction form
    286,858.32/430,214.40 = 203,402.40/x
  3. Step 3: Cross multiply
    286,858.32x = 430,214.40 × 203,402.40
  4. Step 4: Simplify right side
    286,858.32x = 87,506,641,474.56
  5. Step 5: Solve for x
    x = 87,506,641,474.56/286,858.32
  6. Step 6: Final answer
    x = 305,051.78

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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.