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Finding the Fourth Proportional to 405,444.16, 559,601.76 and 235,776.16

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Solution

The fourth proportional to 405,444.16, 559,601.76 and 235,776.16 is: 325,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,444.16 : 559,601.76 = 235,776.16 : x
  2. Step 2: Convert to fraction form
    405,444.16/559,601.76 = 235,776.16/x
  3. Step 3: Cross multiply
    405,444.16x = 559,601.76 × 235,776.16
  4. Step 4: Simplify right side
    405,444.16x = 131,940,754,102.04
  5. Step 5: Solve for x
    x = 131,940,754,102.04/405,444.16
  6. Step 6: Final answer
    x = 325,422.75

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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.