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Finding the Fourth Proportional to 314,663.94, 434,221.14 and 178,679.91

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Solution

The fourth proportional to 314,663.94, 434,221.14 and 178,679.91 is: 246,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,663.94 : 434,221.14 = 178,679.91 : x
  2. Step 2: Convert to fraction form
    314,663.94/434,221.14 = 178,679.91/x
  3. Step 3: Cross multiply
    314,663.94x = 434,221.14 × 178,679.91
  4. Step 4: Simplify right side
    314,663.94x = 77,586,594,215.30
  5. Step 5: Solve for x
    x = 77,586,594,215.30/314,663.94
  6. Step 6: Final answer
    x = 246,569.70

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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.