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Finding the Fourth Proportional to 405,796.31, 560,178.27 and 242,510.43

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Solution

The fourth proportional to 405,796.31, 560,178.27 and 242,510.43 is: 334,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,796.31 : 560,178.27 = 242,510.43 : x
  2. Step 2: Convert to fraction form
    405,796.31/560,178.27 = 242,510.43/x
  3. Step 3: Cross multiply
    405,796.31x = 560,178.27 × 242,510.43
  4. Step 4: Simplify right side
    405,796.31x = 135,849,073,134.36
  5. Step 5: Solve for x
    x = 135,849,073,134.36/405,796.31
  6. Step 6: Final answer
    x = 334,771.59

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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.