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Finding the Fourth Proportional to 657,408, 986,189.76 and 214,176

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Solution

The fourth proportional to 657,408, 986,189.76 and 214,176 is: 321,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,408 : 986,189.76 = 214,176 : x
  2. Step 2: Convert to fraction form
    657,408/986,189.76 = 214,176/x
  3. Step 3: Cross multiply
    657,408x = 986,189.76 × 214,176
  4. Step 4: Simplify right side
    657,408x = 211,218,178,037.76
  5. Step 5: Solve for x
    x = 211,218,178,037.76/657,408
  6. Step 6: Final answer
    x = 321,289.33

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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.