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Finding the Fourth Proportional to 281,646.60, 388,672.47 and 154,322.16

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Solution

The fourth proportional to 281,646.60, 388,672.47 and 154,322.16 is: 212,964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,646.60 : 388,672.47 = 154,322.16 : x
  2. Step 2: Convert to fraction form
    281,646.60/388,672.47 = 154,322.16/x
  3. Step 3: Cross multiply
    281,646.60x = 388,672.47 × 154,322.16
  4. Step 4: Simplify right side
    281,646.60x = 59,980,775,102.94
  5. Step 5: Solve for x
    x = 59,980,775,102.94/281,646.60
  6. Step 6: Final answer
    x = 212,964.67

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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.