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Finding the Fourth Proportional to 450,902.50, 676,457.43 and 155,414.50

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Solution

The fourth proportional to 450,902.50, 676,457.43 and 155,414.50 is: 233,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,902.50 : 676,457.43 = 155,414.50 : x
  2. Step 2: Convert to fraction form
    450,902.50/676,457.43 = 155,414.50/x
  3. Step 3: Cross multiply
    450,902.50x = 676,457.43 × 155,414.50
  4. Step 4: Simplify right side
    450,902.50x = 105,131,293,254.74
  5. Step 5: Solve for x
    x = 105,131,293,254.74/450,902.50
  6. Step 6: Final answer
    x = 233,157.49

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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.