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Finding the Fourth Proportional to 540,459.45, 745,908.14 and 311,012.03

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Solution

The fourth proportional to 540,459.45, 745,908.14 and 311,012.03 is: 429,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,459.45 : 745,908.14 = 311,012.03 : x
  2. Step 2: Convert to fraction form
    540,459.45/745,908.14 = 311,012.03/x
  3. Step 3: Cross multiply
    540,459.45x = 745,908.14 × 311,012.03
  4. Step 4: Simplify right side
    540,459.45x = 231,986,404,814.92
  5. Step 5: Solve for x
    x = 231,986,404,814.92/540,459.45
  6. Step 6: Final answer
    x = 429,239.24

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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.