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Finding the Fourth Proportional to 472,464.90, 709,029.44 and 427,292.41

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Solution

The fourth proportional to 472,464.90, 709,029.44 and 427,292.41 is: 641,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,464.90 : 709,029.44 = 427,292.41 : x
  2. Step 2: Convert to fraction form
    472,464.90/709,029.44 = 427,292.41/x
  3. Step 3: Cross multiply
    472,464.90x = 709,029.44 × 427,292.41
  4. Step 4: Simplify right side
    472,464.90x = 302,962,898,178.55
  5. Step 5: Solve for x
    x = 302,962,898,178.55/472,464.90
  6. Step 6: Final answer
    x = 641,238.95

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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.