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Finding the Fourth Proportional to 471,628.71, 650,746.71 and 280,604.79

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Solution

The fourth proportional to 471,628.71, 650,746.71 and 280,604.79 is: 387,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,628.71 : 650,746.71 = 280,604.79 : x
  2. Step 2: Convert to fraction form
    471,628.71/650,746.71 = 280,604.79/x
  3. Step 3: Cross multiply
    471,628.71x = 650,746.71 × 280,604.79
  4. Step 4: Simplify right side
    471,628.71x = 182,602,643,902.74
  5. Step 5: Solve for x
    x = 182,602,643,902.74/471,628.71
  6. Step 6: Final answer
    x = 387,174.57

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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.