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Finding the Fourth Proportional to 413,810.69, 620,712.05 and 245,209.67

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Solution

The fourth proportional to 413,810.69, 620,712.05 and 245,209.67 is: 367,812.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,810.69 : 620,712.05 = 245,209.67 : x
  2. Step 2: Convert to fraction form
    413,810.69/620,712.05 = 245,209.67/x
  3. Step 3: Cross multiply
    413,810.69x = 620,712.05 × 245,209.67
  4. Step 4: Simplify right side
    413,810.69x = 152,204,593,841.96
  5. Step 5: Solve for x
    x = 152,204,593,841.96/413,810.69
  6. Step 6: Final answer
    x = 367,812.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.