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Finding the Fourth Proportional to 308,947.75, 463,407.72 and 84,307.42

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Solution

The fourth proportional to 308,947.75, 463,407.72 and 84,307.42 is: 126,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,947.75 : 463,407.72 = 84,307.42 : x
  2. Step 2: Convert to fraction form
    308,947.75/463,407.72 = 84,307.42/x
  3. Step 3: Cross multiply
    308,947.75x = 463,407.72 × 84,307.42
  4. Step 4: Simplify right side
    308,947.75x = 39,068,709,281.28
  5. Step 5: Solve for x
    x = 39,068,709,281.28/308,947.75
  6. Step 6: Final answer
    x = 126,457.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.