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Finding the Fourth Proportional to 531,780.93, 733,866.30 and 290,063.43

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Solution

The fourth proportional to 531,780.93, 733,866.30 and 290,063.43 is: 400,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,780.93 : 733,866.30 = 290,063.43 : x
  2. Step 2: Convert to fraction form
    531,780.93/733,866.30 = 290,063.43/x
  3. Step 3: Cross multiply
    531,780.93x = 733,866.30 × 290,063.43
  4. Step 4: Simplify right side
    531,780.93x = 212,867,776,139.41
  5. Step 5: Solve for x
    x = 212,867,776,139.41/531,780.93
  6. Step 6: Final answer
    x = 400,292.23

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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.