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Finding the Fourth Proportional to 532,657.67, 735,063.21 and 290,940.39

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Solution

The fourth proportional to 532,657.67, 735,063.21 and 290,940.39 is: 401,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,657.67 : 735,063.21 = 290,940.39 : x
  2. Step 2: Convert to fraction form
    532,657.67/735,063.21 = 290,940.39/x
  3. Step 3: Cross multiply
    532,657.67x = 735,063.21 × 290,940.39
  4. Step 4: Simplify right side
    532,657.67x = 213,859,576,992.05
  5. Step 5: Solve for x
    x = 213,859,576,992.05/532,657.67
  6. Step 6: Final answer
    x = 401,495.35

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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.