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Finding the Fourth Proportional to 229,477, 316,707.96 and 128,875

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Solution

The fourth proportional to 229,477, 316,707.96 and 128,875 is: 177,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,477 : 316,707.96 = 128,875 : x
  2. Step 2: Convert to fraction form
    229,477/316,707.96 = 128,875/x
  3. Step 3: Cross multiply
    229,477x = 316,707.96 × 128,875
  4. Step 4: Simplify right side
    229,477x = 40,815,738,345
  5. Step 5: Solve for x
    x = 40,815,738,345/229,477
  6. Step 6: Final answer
    x = 177,864.18

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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.