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Finding the Fourth Proportional to 315,119.86, 470,670.42 and 285,087.79

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Solution

The fourth proportional to 315,119.86, 470,670.42 and 285,087.79 is: 425,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,119.86 : 470,670.42 = 285,087.79 : x
  2. Step 2: Convert to fraction form
    315,119.86/470,670.42 = 285,087.79/x
  3. Step 3: Cross multiply
    315,119.86x = 470,670.42 × 285,087.79
  4. Step 4: Simplify right side
    315,119.86x = 134,182,389,856.17
  5. Step 5: Solve for x
    x = 134,182,389,856.17/315,119.86
  6. Step 6: Final answer
    x = 425,813.82

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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.