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Finding the Fourth Proportional to 531,775.90, 733,853.04 and 290,063.67

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Solution

The fourth proportional to 531,775.90, 733,853.04 and 290,063.67 is: 400,289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,775.90 : 733,853.04 = 290,063.67 : x
  2. Step 2: Convert to fraction form
    531,775.90/733,853.04 = 290,063.67/x
  3. Step 3: Cross multiply
    531,775.90x = 733,853.04 × 290,063.67
  4. Step 4: Simplify right side
    531,775.90x = 212,864,106,023.06
  5. Step 5: Solve for x
    x = 212,864,106,023.06/531,775.90
  6. Step 6: Final answer
    x = 400,289.12

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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.