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Finding the Fourth Proportional to 405,102.70, 605,904.45 and 342,117.10

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Solution

The fourth proportional to 405,102.70, 605,904.45 and 342,117.10 is: 511,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,102.70 : 605,904.45 = 342,117.10 : x
  2. Step 2: Convert to fraction form
    405,102.70/605,904.45 = 342,117.10/x
  3. Step 3: Cross multiply
    405,102.70x = 605,904.45 × 342,117.10
  4. Step 4: Simplify right side
    405,102.70x = 207,290,273,311.10
  5. Step 5: Solve for x
    x = 207,290,273,311.10/405,102.70
  6. Step 6: Final answer
    x = 511,698.08

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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.