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Finding the Fourth Proportional to 405,054.57, 558,979.98 and 223,762.71

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Solution

The fourth proportional to 405,054.57, 558,979.98 and 223,762.71 is: 308,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,054.57 : 558,979.98 = 223,762.71 : x
  2. Step 2: Convert to fraction form
    405,054.57/558,979.98 = 223,762.71/x
  3. Step 3: Cross multiply
    405,054.57x = 558,979.98 × 223,762.71
  4. Step 4: Simplify right side
    405,054.57x = 125,078,875,160.55
  5. Step 5: Solve for x
    x = 125,078,875,160.55/405,054.57
  6. Step 6: Final answer
    x = 308,795.12

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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.