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Finding the Fourth Proportional to 419,572.46, 579,051.80 and 256,219.95

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Solution

The fourth proportional to 419,572.46, 579,051.80 and 256,219.95 is: 353,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,572.46 : 579,051.80 = 256,219.95 : x
  2. Step 2: Convert to fraction form
    419,572.46/579,051.80 = 256,219.95/x
  3. Step 3: Cross multiply
    419,572.46x = 579,051.80 × 256,219.95
  4. Step 4: Simplify right side
    419,572.46x = 148,364,621,962.31
  5. Step 5: Solve for x
    x = 148,364,621,962.31/419,572.46
  6. Step 6: Final answer
    x = 353,609.06

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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.