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Finding the Fourth Proportional to 412,054.65, 618,081.98 and 342,070.65

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Solution

The fourth proportional to 412,054.65, 618,081.98 and 342,070.65 is: 513,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,054.65 : 618,081.98 = 342,070.65 : x
  2. Step 2: Convert to fraction form
    412,054.65/618,081.98 = 342,070.65/x
  3. Step 3: Cross multiply
    412,054.65x = 618,081.98 × 342,070.65
  4. Step 4: Simplify right side
    412,054.65x = 211,427,702,941.53
  5. Step 5: Solve for x
    x = 211,427,702,941.53/412,054.65
  6. Step 6: Final answer
    x = 513,105.98

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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.