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Finding the Fourth Proportional to 384,263.95, 530,262.25 and 214,508.83

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Solution

The fourth proportional to 384,263.95, 530,262.25 and 214,508.83 is: 296,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,263.95 : 530,262.25 = 214,508.83 : x
  2. Step 2: Convert to fraction form
    384,263.95/530,262.25 = 214,508.83/x
  3. Step 3: Cross multiply
    384,263.95x = 530,262.25 × 214,508.83
  4. Step 4: Simplify right side
    384,263.95x = 113,745,934,840.67
  5. Step 5: Solve for x
    x = 113,745,934,840.67/384,263.95
  6. Step 6: Final answer
    x = 296,009.90

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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.