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Finding the Fourth Proportional to 466,256.94, 643,666.95 and 305,358.54

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Solution

The fourth proportional to 466,256.94, 643,666.95 and 305,358.54 is: 421,546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,256.94 : 643,666.95 = 305,358.54 : x
  2. Step 2: Convert to fraction form
    466,256.94/643,666.95 = 305,358.54/x
  3. Step 3: Cross multiply
    466,256.94x = 643,666.95 × 305,358.54
  4. Step 4: Simplify right side
    466,256.94x = 196,549,200,098.25
  5. Step 5: Solve for x
    x = 196,549,200,098.25/466,256.94
  6. Step 6: Final answer
    x = 421,546.97

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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.