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Finding the Fourth Proportional to 531,455, 733,437.06 and 305,115.08

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Solution

The fourth proportional to 531,455, 733,437.06 and 305,115.08 is: 421,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,455 : 733,437.06 = 305,115.08 : x
  2. Step 2: Convert to fraction form
    531,455/733,437.06 = 305,115.08/x
  3. Step 3: Cross multiply
    531,455x = 733,437.06 × 305,115.08
  4. Step 4: Simplify right side
    531,455x = 223,782,707,236.87
  5. Step 5: Solve for x
    x = 223,782,707,236.87/531,455
  6. Step 6: Final answer
    x = 421,075.55

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1.5x scale

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.