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Finding the Fourth Proportional to 349,871.70, 524,029.95 and 287,663.70

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Solution

The fourth proportional to 349,871.70, 524,029.95 and 287,663.70 is: 430,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,871.70 : 524,029.95 = 287,663.70 : x
  2. Step 2: Convert to fraction form
    349,871.70/524,029.95 = 287,663.70/x
  3. Step 3: Cross multiply
    349,871.70x = 524,029.95 × 287,663.70
  4. Step 4: Simplify right side
    349,871.70x = 150,744,394,327.82
  5. Step 5: Solve for x
    x = 150,744,394,327.82/349,871.70
  6. Step 6: Final answer
    x = 430,856.21

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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.