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Finding the Fourth Proportional to 268,449, 402,673.50 and 71,457

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Solution

The fourth proportional to 268,449, 402,673.50 and 71,457 is: 107,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,449 : 402,673.50 = 71,457 : x
  2. Step 2: Convert to fraction form
    268,449/402,673.50 = 71,457/x
  3. Step 3: Cross multiply
    268,449x = 402,673.50 × 71,457
  4. Step 4: Simplify right side
    268,449x = 28,773,840,289.50
  5. Step 5: Solve for x
    x = 28,773,840,289.50/268,449
  6. Step 6: Final answer
    x = 107,185.50

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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.