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Finding the Fourth Proportional to 472,463.90, 709,027.94 and 427,291.41

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Solution

The fourth proportional to 472,463.90, 709,027.94 and 427,291.41 is: 641,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,463.90 : 709,027.94 = 427,291.41 : x
  2. Step 2: Convert to fraction form
    472,463.90/709,027.94 = 427,291.41/x
  3. Step 3: Cross multiply
    472,463.90x = 709,027.94 × 427,291.41
  4. Step 4: Simplify right side
    472,463.90x = 302,961,549,280.22
  5. Step 5: Solve for x
    x = 302,961,549,280.22/472,463.90
  6. Step 6: Final answer
    x = 641,237.46

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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.