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Finding the Fourth Proportional to 405,297.51, 559,339.50 and 224,005.54

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Solution

The fourth proportional to 405,297.51, 559,339.50 and 224,005.54 is: 309,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,297.51 : 559,339.50 = 224,005.54 : x
  2. Step 2: Convert to fraction form
    405,297.51/559,339.50 = 224,005.54/x
  3. Step 3: Cross multiply
    405,297.51x = 559,339.50 × 224,005.54
  4. Step 4: Simplify right side
    405,297.51x = 125,295,146,740.83
  5. Step 5: Solve for x
    x = 125,295,146,740.83/405,297.51
  6. Step 6: Final answer
    x = 309,143.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.