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Finding the Fourth Proportional to 418,506.86, 627,665.64 and 118,980.80

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Solution

The fourth proportional to 418,506.86, 627,665.64 and 118,980.80 is: 178,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,506.86 : 627,665.64 = 118,980.80 : x
  2. Step 2: Convert to fraction form
    418,506.86/627,665.64 = 118,980.80/x
  3. Step 3: Cross multiply
    418,506.86x = 627,665.64 × 118,980.80
  4. Step 4: Simplify right side
    418,506.86x = 74,680,159,979.71
  5. Step 5: Solve for x
    x = 74,680,159,979.71/418,506.86
  6. Step 6: Final answer
    x = 178,444.29

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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.