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Finding the Fourth Proportional to 540,093.50, 745,320.21 and 298,386.26

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Solution

The fourth proportional to 540,093.50, 745,320.21 and 298,386.26 is: 411,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,093.50 : 745,320.21 = 298,386.26 : x
  2. Step 2: Convert to fraction form
    540,093.50/745,320.21 = 298,386.26/x
  3. Step 3: Cross multiply
    540,093.50x = 745,320.21 × 298,386.26
  4. Step 4: Simplify right side
    540,093.50x = 222,393,309,964.32
  5. Step 5: Solve for x
    x = 222,393,309,964.32/540,093.50
  6. Step 6: Final answer
    x = 411,768.17

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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.