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Finding the Fourth Proportional to 287,557.88, 430,680.72 and 253,922

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Solution

The fourth proportional to 287,557.88, 430,680.72 and 253,922 is: 380,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,557.88 : 430,680.72 = 253,922 : x
  2. Step 2: Convert to fraction form
    287,557.88/430,680.72 = 253,922/x
  3. Step 3: Cross multiply
    287,557.88x = 430,680.72 × 253,922
  4. Step 4: Simplify right side
    287,557.88x = 109,359,309,783.84
  5. Step 5: Solve for x
    x = 109,359,309,783.84/287,557.88
  6. Step 6: Final answer
    x = 380,303.64

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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.