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Finding the Fourth Proportional to 405,701.80, 559,679.94 and 262,507.97

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Solution

The fourth proportional to 405,701.80, 559,679.94 and 262,507.97 is: 362,139.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,701.80 : 559,679.94 = 262,507.97 : x
  2. Step 2: Convert to fraction form
    405,701.80/559,679.94 = 262,507.97/x
  3. Step 3: Cross multiply
    405,701.80x = 559,679.94 × 262,507.97
  4. Step 4: Simplify right side
    405,701.80x = 146,920,446,298.32
  5. Step 5: Solve for x
    x = 146,920,446,298.32/405,701.80
  6. Step 6: Final answer
    x = 362,139.01

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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.