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Finding the Fourth Proportional to 384,772, 530,983.72 and 215,006.12

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Solution

The fourth proportional to 384,772, 530,983.72 and 215,006.12 is: 296,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,772 : 530,983.72 = 215,006.12 : x
  2. Step 2: Convert to fraction form
    384,772/530,983.72 = 215,006.12/x
  3. Step 3: Cross multiply
    384,772x = 530,983.72 × 215,006.12
  4. Step 4: Simplify right side
    384,772x = 114,164,749,420.37
  5. Step 5: Solve for x
    x = 114,164,749,420.37/384,772
  6. Step 6: Final answer
    x = 296,707.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.