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Finding the Fourth Proportional to 488,467.80, 731,729.70 and 430,018.20

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Solution

The fourth proportional to 488,467.80, 731,729.70 and 430,018.20 is: 644,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,467.80 : 731,729.70 = 430,018.20 : x
  2. Step 2: Convert to fraction form
    488,467.80/731,729.70 = 430,018.20/x
  3. Step 3: Cross multiply
    488,467.80x = 731,729.70 × 430,018.20
  4. Step 4: Simplify right side
    488,467.80x = 314,657,088,480.54
  5. Step 5: Solve for x
    x = 314,657,088,480.54/488,467.80
  6. Step 6: Final answer
    x = 644,171.61

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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.