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Finding the Fourth Proportional to 419,557.70, 579,275.88 and 322,590.98

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Solution

The fourth proportional to 419,557.70, 579,275.88 and 322,590.98 is: 445,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,557.70 : 579,275.88 = 322,590.98 : x
  2. Step 2: Convert to fraction form
    419,557.70/579,275.88 = 322,590.98/x
  3. Step 3: Cross multiply
    419,557.70x = 579,275.88 × 322,590.98
  4. Step 4: Simplify right side
    419,557.70x = 186,869,173,819.56
  5. Step 5: Solve for x
    x = 186,869,173,819.56/419,557.70
  6. Step 6: Final answer
    x = 445,395.65

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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.