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Finding the Fourth Proportional to 469,900.40, 648,463.10 and 255,040.50

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Solution

The fourth proportional to 469,900.40, 648,463.10 and 255,040.50 is: 351,956.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,900.40 : 648,463.10 = 255,040.50 : x
  2. Step 2: Convert to fraction form
    469,900.40/648,463.10 = 255,040.50/x
  3. Step 3: Cross multiply
    469,900.40x = 648,463.10 × 255,040.50
  4. Step 4: Simplify right side
    469,900.40x = 165,384,351,980.35
  5. Step 5: Solve for x
    x = 165,384,351,980.35/469,900.40
  6. Step 6: Final answer
    x = 351,956.19

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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.