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Finding the Fourth Proportional to 412,280.48, 618,211.74 and 146,003.51

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Solution

The fourth proportional to 412,280.48, 618,211.74 and 146,003.51 is: 218,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,280.48 : 618,211.74 = 146,003.51 : x
  2. Step 2: Convert to fraction form
    412,280.48/618,211.74 = 146,003.51/x
  3. Step 3: Cross multiply
    412,280.48x = 618,211.74 × 146,003.51
  4. Step 4: Simplify right side
    412,280.48x = 90,261,086,056.25
  5. Step 5: Solve for x
    x = 90,261,086,056.25/412,280.48
  6. Step 6: Final answer
    x = 218,931.26

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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.