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Finding the Fourth Proportional to 535,069.18, 738,401.48 and 305,656.84

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Solution

The fourth proportional to 535,069.18, 738,401.48 and 305,656.84 is: 421,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,069.18 : 738,401.48 = 305,656.84 : x
  2. Step 2: Convert to fraction form
    535,069.18/738,401.48 = 305,656.84/x
  3. Step 3: Cross multiply
    535,069.18x = 738,401.48 × 305,656.84
  4. Step 4: Simplify right side
    535,069.18x = 225,697,463,028.12
  5. Step 5: Solve for x
    x = 225,697,463,028.12/535,069.18
  6. Step 6: Final answer
    x = 421,809.87

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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.