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Finding the Fourth Proportional to 418,515.69, 627,678.96 and 118,989.72

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Solution

The fourth proportional to 418,515.69, 627,678.96 and 118,989.72 is: 178,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,515.69 : 627,678.96 = 118,989.72 : x
  2. Step 2: Convert to fraction form
    418,515.69/627,678.96 = 118,989.72/x
  3. Step 3: Cross multiply
    418,515.69x = 627,678.96 × 118,989.72
  4. Step 4: Simplify right side
    418,515.69x = 74,687,343,700.29
  5. Step 5: Solve for x
    x = 74,687,343,700.29/418,515.69
  6. Step 6: Final answer
    x = 178,457.69

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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.