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Finding the Fourth Proportional to 431,574.85, 646,776.43 and 229,119.80

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Solution

The fourth proportional to 431,574.85, 646,776.43 and 229,119.80 is: 343,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,574.85 : 646,776.43 = 229,119.80 : x
  2. Step 2: Convert to fraction form
    431,574.85/646,776.43 = 229,119.80/x
  3. Step 3: Cross multiply
    431,574.85x = 646,776.43 × 229,119.80
  4. Step 4: Simplify right side
    431,574.85x = 148,189,287,330.46
  5. Step 5: Solve for x
    x = 148,189,287,330.46/431,574.85
  6. Step 6: Final answer
    x = 343,368.68

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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.