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Finding the Fourth Proportional to 414,096.04, 620,510.48 and 278,658.54

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Solution

The fourth proportional to 414,096.04, 620,510.48 and 278,658.54 is: 417,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,096.04 : 620,510.48 = 278,658.54 : x
  2. Step 2: Convert to fraction form
    414,096.04/620,510.48 = 278,658.54/x
  3. Step 3: Cross multiply
    414,096.04x = 620,510.48 × 278,658.54
  4. Step 4: Simplify right side
    414,096.04x = 172,910,544,411.50
  5. Step 5: Solve for x
    x = 172,910,544,411.50/414,096.04
  6. Step 6: Final answer
    x = 417,561.45

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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.