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Finding the Fourth Proportional to 405,419.63, 559,386.26 and 242,044.34

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Solution

The fourth proportional to 405,419.63, 559,386.26 and 242,044.34 is: 333,965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,419.63 : 559,386.26 = 242,044.34 : x
  2. Step 2: Convert to fraction form
    405,419.63/559,386.26 = 242,044.34/x
  3. Step 3: Cross multiply
    405,419.63x = 559,386.26 × 242,044.34
  4. Step 4: Simplify right side
    405,419.63x = 135,396,278,106.77
  5. Step 5: Solve for x
    x = 135,396,278,106.77/405,419.63
  6. Step 6: Final answer
    x = 333,965.77

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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.