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Finding the Fourth Proportional to 462,704.90, 638,529.15 and 258,756.22

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Solution

The fourth proportional to 462,704.90, 638,529.15 and 258,756.22 is: 357,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,704.90 : 638,529.15 = 258,756.22 : x
  2. Step 2: Convert to fraction form
    462,704.90/638,529.15 = 258,756.22/x
  3. Step 3: Cross multiply
    462,704.90x = 638,529.15 × 258,756.22
  4. Step 4: Simplify right side
    462,704.90x = 165,223,389,213.81
  5. Step 5: Solve for x
    x = 165,223,389,213.81/462,704.90
  6. Step 6: Final answer
    x = 357,081.56

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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.