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Finding the Fourth Proportional to 408,436.50, 563,051.49 and 270,384.10

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Solution

The fourth proportional to 408,436.50, 563,051.49 and 270,384.10 is: 372,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,436.50 : 563,051.49 = 270,384.10 : x
  2. Step 2: Convert to fraction form
    408,436.50/563,051.49 = 270,384.10/x
  3. Step 3: Cross multiply
    408,436.50x = 563,051.49 × 270,384.10
  4. Step 4: Simplify right side
    408,436.50x = 152,240,167,955.74
  5. Step 5: Solve for x
    x = 152,240,167,955.74/408,436.50
  6. Step 6: Final answer
    x = 372,738.89

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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.