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Finding the Fourth Proportional to 414,234.80, 620,185.80 and 402,570.80

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Solution

The fourth proportional to 414,234.80, 620,185.80 and 402,570.80 is: 602,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,234.80 : 620,185.80 = 402,570.80 : x
  2. Step 2: Convert to fraction form
    414,234.80/620,185.80 = 402,570.80/x
  3. Step 3: Cross multiply
    414,234.80x = 620,185.80 × 402,570.80
  4. Step 4: Simplify right side
    414,234.80x = 249,668,693,654.64
  5. Step 5: Solve for x
    x = 249,668,693,654.64/414,234.80
  6. Step 6: Final answer
    x = 602,722.64

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1.5x scale

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.