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Finding the Fourth Proportional to 343,211.40, 514,865.70 and 106,529.40

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Solution

The fourth proportional to 343,211.40, 514,865.70 and 106,529.40 is: 159,809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,211.40 : 514,865.70 = 106,529.40 : x
  2. Step 2: Convert to fraction form
    343,211.40/514,865.70 = 106,529.40/x
  3. Step 3: Cross multiply
    343,211.40x = 514,865.70 × 106,529.40
  4. Step 4: Simplify right side
    343,211.40x = 54,848,334,101.58
  5. Step 5: Solve for x
    x = 54,848,334,101.58/343,211.40
  6. Step 6: Final answer
    x = 159,809.18

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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.