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Finding the Fourth Proportional to 532,438.58, 734,795.00 and 290,743.58

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Solution

The fourth proportional to 532,438.58, 734,795.00 and 290,743.58 is: 401,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,438.58 : 734,795.00 = 290,743.58 : x
  2. Step 2: Convert to fraction form
    532,438.58/734,795.00 = 290,743.58/x
  3. Step 3: Cross multiply
    532,438.58x = 734,795.00 × 290,743.58
  4. Step 4: Simplify right side
    532,438.58x = 213,636,923,738.41
  5. Step 5: Solve for x
    x = 213,636,923,738.41/532,438.58
  6. Step 6: Final answer
    x = 401,242.39

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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.