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Finding the Fourth Proportional to 413,810.19, 620,711.30 and 245,209.16

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Solution

The fourth proportional to 413,810.19, 620,711.30 and 245,209.16 is: 367,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,810.19 : 620,711.30 = 245,209.16 : x
  2. Step 2: Convert to fraction form
    413,810.19/620,711.30 = 245,209.16/x
  3. Step 3: Cross multiply
    413,810.19x = 620,711.30 × 245,209.16
  4. Step 4: Simplify right side
    413,810.19x = 152,204,098,640.31
  5. Step 5: Solve for x
    x = 152,204,098,640.31/413,810.19
  6. Step 6: Final answer
    x = 367,811.38

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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.