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Finding the Fourth Proportional to 472,321.58, 705,472.18 and 427,273.64

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Solution

The fourth proportional to 472,321.58, 705,472.18 and 427,273.64 is: 638,187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,321.58 : 705,472.18 = 427,273.64 : x
  2. Step 2: Convert to fraction form
    472,321.58/705,472.18 = 427,273.64/x
  3. Step 3: Cross multiply
    472,321.58x = 705,472.18 × 427,273.64
  4. Step 4: Simplify right side
    472,321.58x = 301,429,666,267.34
  5. Step 5: Solve for x
    x = 301,429,666,267.34/472,321.58
  6. Step 6: Final answer
    x = 638,187.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.