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Finding the Fourth Proportional to 412,363.65, 578,138.55 and 412,363.65

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Solution

The fourth proportional to 412,363.65, 578,138.55 and 412,363.65 is: 578,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,363.65 : 578,138.55 = 412,363.65 : x
  2. Step 2: Convert to fraction form
    412,363.65/578,138.55 = 412,363.65/x
  3. Step 3: Cross multiply
    412,363.65x = 578,138.55 × 412,363.65
  4. Step 4: Simplify right side
    412,363.65x = 238,403,322,683.71
  5. Step 5: Solve for x
    x = 238,403,322,683.71/412,363.65
  6. Step 6: Final answer
    x = 578,138.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.