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Finding the Fourth Proportional to 589,403, 884,104.50 and 215,426

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Solution

The fourth proportional to 589,403, 884,104.50 and 215,426 is: 323,139

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,403 : 884,104.50 = 215,426 : x
  2. Step 2: Convert to fraction form
    589,403/884,104.50 = 215,426/x
  3. Step 3: Cross multiply
    589,403x = 884,104.50 × 215,426
  4. Step 4: Simplify right side
    589,403x = 190,459,096,017
  5. Step 5: Solve for x
    x = 190,459,096,017/589,403
  6. Step 6: Final answer
    x = 323,139

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.