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Finding the Fourth Proportional to 431,401.40, 646,555.35 and 164,806.10

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Solution

The fourth proportional to 431,401.40, 646,555.35 and 164,806.10 is: 247,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,401.40 : 646,555.35 = 164,806.10 : x
  2. Step 2: Convert to fraction form
    431,401.40/646,555.35 = 164,806.10/x
  3. Step 3: Cross multiply
    431,401.40x = 646,555.35 × 164,806.10
  4. Step 4: Simplify right side
    431,401.40x = 106,556,265,667.64
  5. Step 5: Solve for x
    x = 106,556,265,667.64/431,401.40
  6. Step 6: Final answer
    x = 247,000.28

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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.