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Finding the Fourth Proportional to 405,821.16, 560,049.72 and 224,530.16

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Solution

The fourth proportional to 405,821.16, 560,049.72 and 224,530.16 is: 309,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,821.16 : 560,049.72 = 224,530.16 : x
  2. Step 2: Convert to fraction form
    405,821.16/560,049.72 = 224,530.16/x
  3. Step 3: Cross multiply
    405,821.16x = 560,049.72 × 224,530.16
  4. Step 4: Simplify right side
    405,821.16x = 125,748,049,597.32
  5. Step 5: Solve for x
    x = 125,748,049,597.32/405,821.16
  6. Step 6: Final answer
    x = 309,860.75

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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.