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Finding the Fourth Proportional to 215,408, 297,269.88 and 134,809.76

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Solution

The fourth proportional to 215,408, 297,269.88 and 134,809.76 is: 186,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,408 : 297,269.88 = 134,809.76 : x
  2. Step 2: Convert to fraction form
    215,408/297,269.88 = 134,809.76/x
  3. Step 3: Cross multiply
    215,408x = 297,269.88 × 134,809.76
  4. Step 4: Simplify right side
    215,408x = 40,074,881,178.03
  5. Step 5: Solve for x
    x = 40,074,881,178.03/215,408
  6. Step 6: Final answer
    x = 186,041.75

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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.