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Finding the Fourth Proportional to 314,828.04, 434,472.82 and 178,859.51

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Solution

The fourth proportional to 314,828.04, 434,472.82 and 178,859.51 is: 246,831.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,828.04 : 434,472.82 = 178,859.51 : x
  2. Step 2: Convert to fraction form
    314,828.04/434,472.82 = 178,859.51/x
  3. Step 3: Cross multiply
    314,828.04x = 434,472.82 × 178,859.51
  4. Step 4: Simplify right side
    314,828.04x = 77,709,593,074.01
  5. Step 5: Solve for x
    x = 77,709,593,074.01/314,828.04
  6. Step 6: Final answer
    x = 246,831.87

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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.