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Finding the Fourth Proportional to 464,402.28, 640,281.86 and 300,769.68

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Solution

The fourth proportional to 464,402.28, 640,281.86 and 300,769.68 is: 414,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,402.28 : 640,281.86 = 300,769.68 : x
  2. Step 2: Convert to fraction form
    464,402.28/640,281.86 = 300,769.68/x
  3. Step 3: Cross multiply
    464,402.28x = 640,281.86 × 300,769.68
  4. Step 4: Simplify right side
    464,402.28x = 192,577,370,142.01
  5. Step 5: Solve for x
    x = 192,577,370,142.01/464,402.28
  6. Step 6: Final answer
    x = 414,677.92

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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.