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Finding the Fourth Proportional to 438,659.80, 657,114.90 and 305,690.20

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Solution

The fourth proportional to 438,659.80, 657,114.90 and 305,690.20 is: 457,925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,659.80 : 657,114.90 = 305,690.20 : x
  2. Step 2: Convert to fraction form
    438,659.80/657,114.90 = 305,690.20/x
  3. Step 3: Cross multiply
    438,659.80x = 657,114.90 × 305,690.20
  4. Step 4: Simplify right side
    438,659.80x = 200,873,585,203.98
  5. Step 5: Solve for x
    x = 200,873,585,203.98/438,659.80
  6. Step 6: Final answer
    x = 457,925.68

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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.