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Finding the Fourth Proportional to 228,411.32, 342,424.31 and 143,985.42

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Solution

The fourth proportional to 228,411.32, 342,424.31 and 143,985.42 is: 215,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,411.32 : 342,424.31 = 143,985.42 : x
  2. Step 2: Convert to fraction form
    228,411.32/342,424.31 = 143,985.42/x
  3. Step 3: Cross multiply
    228,411.32x = 342,424.31 × 143,985.42
  4. Step 4: Simplify right side
    228,411.32x = 49,304,106,741.40
  5. Step 5: Solve for x
    x = 49,304,106,741.40/228,411.32
  6. Step 6: Final answer
    x = 215,856.67

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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.