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Finding the Fourth Proportional to 431,980.15, 647,444.90 and 305,656.80

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Solution

The fourth proportional to 431,980.15, 647,444.90 and 305,656.80 is: 458,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,980.15 : 647,444.90 = 305,656.80 : x
  2. Step 2: Convert to fraction form
    431,980.15/647,444.90 = 305,656.80/x
  3. Step 3: Cross multiply
    431,980.15x = 647,444.90 × 305,656.80
  4. Step 4: Simplify right side
    431,980.15x = 197,895,931,544.81
  5. Step 5: Solve for x
    x = 197,895,931,544.81/431,980.15
  6. Step 6: Final answer
    x = 458,113.48

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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.