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Finding the Fourth Proportional to 313,831.76, 470,570.42 and 287,052.12

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Solution

The fourth proportional to 313,831.76, 470,570.42 and 287,052.12 is: 430,416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,831.76 : 470,570.42 = 287,052.12 : x
  2. Step 2: Convert to fraction form
    313,831.76/470,570.42 = 287,052.12/x
  3. Step 3: Cross multiply
    313,831.76x = 470,570.42 × 287,052.12
  4. Step 4: Simplify right side
    313,831.76x = 135,078,236,670.29
  5. Step 5: Solve for x
    x = 135,078,236,670.29/313,831.76
  6. Step 6: Final answer
    x = 430,416.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.