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Finding the Fourth Proportional to 405,142.76, 559,048.39 and 223,843.52

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Solution

The fourth proportional to 405,142.76, 559,048.39 and 223,843.52 is: 308,877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,142.76 : 559,048.39 = 223,843.52 : x
  2. Step 2: Convert to fraction form
    405,142.76/559,048.39 = 223,843.52/x
  3. Step 3: Cross multiply
    405,142.76x = 559,048.39 × 223,843.52
  4. Step 4: Simplify right side
    405,142.76x = 125,139,356,113.08
  5. Step 5: Solve for x
    x = 125,139,356,113.08/405,142.76
  6. Step 6: Final answer
    x = 308,877.19

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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.