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Finding the Fourth Proportional to 349,215.20, 523,045.20 and 287,007.20

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Solution

The fourth proportional to 349,215.20, 523,045.20 and 287,007.20 is: 429,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,215.20 : 523,045.20 = 287,007.20 : x
  2. Step 2: Convert to fraction form
    349,215.20/523,045.20 = 287,007.20/x
  3. Step 3: Cross multiply
    349,215.20x = 523,045.20 × 287,007.20
  4. Step 4: Simplify right side
    349,215.20x = 150,117,738,325.44
  5. Step 5: Solve for x
    x = 150,117,738,325.44/349,215.20
  6. Step 6: Final answer
    x = 429,871.72

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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.