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Finding the Fourth Proportional to 384,274.20, 530,276.40 and 214,519.08

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Solution

The fourth proportional to 384,274.20, 530,276.40 and 214,519.08 is: 296,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,274.20 : 530,276.40 = 214,519.08 : x
  2. Step 2: Convert to fraction form
    384,274.20/530,276.40 = 214,519.08/x
  3. Step 3: Cross multiply
    384,274.20x = 530,276.40 × 214,519.08
  4. Step 4: Simplify right side
    384,274.20x = 113,754,405,473.71
  5. Step 5: Solve for x
    x = 113,754,405,473.71/384,274.20
  6. Step 6: Final answer
    x = 296,024.05

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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.