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Finding the Fourth Proportional to 384,573.02, 530,608.12 and 214,803.50

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Solution

The fourth proportional to 384,573.02, 530,608.12 and 214,803.50 is: 296,371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,573.02 : 530,608.12 = 214,803.50 : x
  2. Step 2: Convert to fraction form
    384,573.02/530,608.12 = 214,803.50/x
  3. Step 3: Cross multiply
    384,573.02x = 530,608.12 × 214,803.50
  4. Step 4: Simplify right side
    384,573.02x = 113,976,478,114.37
  5. Step 5: Solve for x
    x = 113,976,478,114.37/384,573.02
  6. Step 6: Final answer
    x = 296,371.49

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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.