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Finding the Fourth Proportional to 315,118.86, 470,668.93 and 285,086.79

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Solution

The fourth proportional to 315,118.86, 470,668.93 and 285,086.79 is: 425,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,118.86 : 470,668.93 = 285,086.79 : x
  2. Step 2: Convert to fraction form
    315,118.86/470,668.93 = 285,086.79/x
  3. Step 3: Cross multiply
    315,118.86x = 470,668.93 × 285,086.79
  4. Step 4: Simplify right side
    315,118.86x = 134,181,493,693.72
  5. Step 5: Solve for x
    x = 134,181,493,693.72/315,118.86
  6. Step 6: Final answer
    x = 425,812.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.