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Finding the Fourth Proportional to 229,407, 316,585.32 and 128,802.84

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Solution

The fourth proportional to 229,407, 316,585.32 and 128,802.84 is: 177,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,407 : 316,585.32 = 128,802.84 : x
  2. Step 2: Convert to fraction form
    229,407/316,585.32 = 128,802.84/x
  3. Step 3: Cross multiply
    229,407x = 316,585.32 × 128,802.84
  4. Step 4: Simplify right side
    229,407x = 40,777,088,318.31
  5. Step 5: Solve for x
    x = 40,777,088,318.31/229,407
  6. Step 6: Final answer
    x = 177,749.97

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1.5x scale

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.