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Finding the Fourth Proportional to 414,009.40, 621,014.10 and 361,521.40

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Solution

The fourth proportional to 414,009.40, 621,014.10 and 361,521.40 is: 542,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,009.40 : 621,014.10 = 361,521.40 : x
  2. Step 2: Convert to fraction form
    414,009.40/621,014.10 = 361,521.40/x
  3. Step 3: Cross multiply
    414,009.40x = 621,014.10 × 361,521.40
  4. Step 4: Simplify right side
    414,009.40x = 224,509,886,851.74
  5. Step 5: Solve for x
    x = 224,509,886,851.74/414,009.40
  6. Step 6: Final answer
    x = 542,282.10

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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.