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Finding the Fourth Proportional to 540,463.44, 745,913.64 and 311,016.06

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Solution

The fourth proportional to 540,463.44, 745,913.64 and 311,016.06 is: 429,244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,463.44 : 745,913.64 = 311,016.06 : x
  2. Step 2: Convert to fraction form
    540,463.44/745,913.64 = 311,016.06/x
  3. Step 3: Cross multiply
    540,463.44x = 745,913.64 × 311,016.06
  4. Step 4: Simplify right side
    540,463.44x = 231,991,121,413.06
  5. Step 5: Solve for x
    x = 231,991,121,413.06/540,463.44
  6. Step 6: Final answer
    x = 429,244.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.