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Finding the Fourth Proportional to 229,606.32, 316,856.48 and 127,628.64

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Solution

The fourth proportional to 229,606.32, 316,856.48 and 127,628.64 is: 176,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,606.32 : 316,856.48 = 127,628.64 : x
  2. Step 2: Convert to fraction form
    229,606.32/316,856.48 = 127,628.64/x
  3. Step 3: Cross multiply
    229,606.32x = 316,856.48 × 127,628.64
  4. Step 4: Simplify right side
    229,606.32x = 40,439,961,617.59
  5. Step 5: Solve for x
    x = 40,439,961,617.59/229,606.32
  6. Step 6: Final answer
    x = 176,127.39

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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.