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Finding the Fourth Proportional to 259,880.16, 390,344.40 and 154,904.16

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Solution

The fourth proportional to 259,880.16, 390,344.40 and 154,904.16 is: 232,668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,880.16 : 390,344.40 = 154,904.16 : x
  2. Step 2: Convert to fraction form
    259,880.16/390,344.40 = 154,904.16/x
  3. Step 3: Cross multiply
    259,880.16x = 390,344.40 × 154,904.16
  4. Step 4: Simplify right side
    259,880.16x = 60,465,971,392.70
  5. Step 5: Solve for x
    x = 60,465,971,392.70/259,880.16
  6. Step 6: Final answer
    x = 232,668.67

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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.