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Finding the Fourth Proportional to 472,319.58, 705,469.20 and 427,271.64

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Solution

The fourth proportional to 472,319.58, 705,469.20 and 427,271.64 is: 638,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,319.58 : 705,469.20 = 427,271.64 : x
  2. Step 2: Convert to fraction form
    472,319.58/705,469.20 = 427,271.64/x
  3. Step 3: Cross multiply
    472,319.58x = 705,469.20 × 427,271.64
  4. Step 4: Simplify right side
    472,319.58x = 301,426,982,053.49
  5. Step 5: Solve for x
    x = 301,426,982,053.49/472,319.58
  6. Step 6: Final answer
    x = 638,184.39

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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.