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Finding the Fourth Proportional to 405,509.22, 559,586.88 and 242,193.42

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Solution

The fourth proportional to 405,509.22, 559,586.88 and 242,193.42 is: 334,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,509.22 : 559,586.88 = 242,193.42 : x
  2. Step 2: Convert to fraction form
    405,509.22/559,586.88 = 242,193.42/x
  3. Step 3: Cross multiply
    405,509.22x = 559,586.88 × 242,193.42
  4. Step 4: Simplify right side
    405,509.22x = 135,528,260,254.33
  5. Step 5: Solve for x
    x = 135,528,260,254.33/405,509.22
  6. Step 6: Final answer
    x = 334,217.46

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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.