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Finding the Fourth Proportional to 531,462, 733,446.72 and 305,122.08

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Solution

The fourth proportional to 531,462, 733,446.72 and 305,122.08 is: 421,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,462 : 733,446.72 = 305,122.08 : x
  2. Step 2: Convert to fraction form
    531,462/733,446.72 = 305,122.08/x
  3. Step 3: Cross multiply
    531,462x = 733,446.72 × 305,122.08
  4. Step 4: Simplify right side
    531,462x = 223,790,788,775.58
  5. Step 5: Solve for x
    x = 223,790,788,775.58/531,462
  6. Step 6: Final answer
    x = 421,085.21

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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.