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Finding the Fourth Proportional to 405,030.62, 558,894.35 and 223,731.68

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Solution

The fourth proportional to 405,030.62, 558,894.35 and 223,731.68 is: 308,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,030.62 : 558,894.35 = 223,731.68 : x
  2. Step 2: Convert to fraction form
    405,030.62/558,894.35 = 223,731.68/x
  3. Step 3: Cross multiply
    405,030.62x = 558,894.35 × 223,731.68
  4. Step 4: Simplify right side
    405,030.62x = 125,042,369,632.87
  5. Step 5: Solve for x
    x = 125,042,369,632.87/405,030.62
  6. Step 6: Final answer
    x = 308,723.25

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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.