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Finding the Fourth Proportional to 384,775.48, 530,989.32 and 215,009.61

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Solution

The fourth proportional to 384,775.48, 530,989.32 and 215,009.61 is: 296,712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,775.48 : 530,989.32 = 215,009.61 : x
  2. Step 2: Convert to fraction form
    384,775.48/530,989.32 = 215,009.61/x
  3. Step 3: Cross multiply
    384,775.48x = 530,989.32 × 215,009.61
  4. Step 4: Simplify right side
    384,775.48x = 114,167,806,607.37
  5. Step 5: Solve for x
    x = 114,167,806,607.37/384,775.48
  6. Step 6: Final answer
    x = 296,712.79

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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.