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Finding the Fourth Proportional to 405,616.51, 559,728.15 and 221,818.81

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Solution

The fourth proportional to 405,616.51, 559,728.15 and 221,818.81 is: 306,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,616.51 : 559,728.15 = 221,818.81 : x
  2. Step 2: Convert to fraction form
    405,616.51/559,728.15 = 221,818.81/x
  3. Step 3: Cross multiply
    405,616.51x = 559,728.15 × 221,818.81
  4. Step 4: Simplify right side
    405,616.51x = 124,158,229,925.36
  5. Step 5: Solve for x
    x = 124,158,229,925.36/405,616.51
  6. Step 6: Final answer
    x = 306,097.57

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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.