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Finding the Fourth Proportional to 384,348.74, 530,405.22 and 212,271.01

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Solution

The fourth proportional to 384,348.74, 530,405.22 and 212,271.01 is: 292,936.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,348.74 : 530,405.22 = 212,271.01 : x
  2. Step 2: Convert to fraction form
    384,348.74/530,405.22 = 212,271.01/x
  3. Step 3: Cross multiply
    384,348.74x = 530,405.22 × 212,271.01
  4. Step 4: Simplify right side
    384,348.74x = 112,589,651,228.68
  5. Step 5: Solve for x
    x = 112,589,651,228.68/384,348.74
  6. Step 6: Final answer
    x = 292,936.18

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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.