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Finding the Fourth Proportional to 406,315.78, 609,559.53 and 121,996.06

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Solution

The fourth proportional to 406,315.78, 609,559.53 and 121,996.06 is: 183,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,315.78 : 609,559.53 = 121,996.06 : x
  2. Step 2: Convert to fraction form
    406,315.78/609,559.53 = 121,996.06/x
  3. Step 3: Cross multiply
    406,315.78x = 609,559.53 × 121,996.06
  4. Step 4: Simplify right side
    406,315.78x = 74,363,860,995.45
  5. Step 5: Solve for x
    x = 74,363,860,995.45/406,315.78
  6. Step 6: Final answer
    x = 183,019.87

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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.