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Finding the Fourth Proportional to 257,551.80, 386,327.70 and 218,671.80

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Solution

The fourth proportional to 257,551.80, 386,327.70 and 218,671.80 is: 328,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,551.80 : 386,327.70 = 218,671.80 : x
  2. Step 2: Convert to fraction form
    257,551.80/386,327.70 = 218,671.80/x
  3. Step 3: Cross multiply
    257,551.80x = 386,327.70 × 218,671.80
  4. Step 4: Simplify right side
    257,551.80x = 84,478,973,548.86
  5. Step 5: Solve for x
    x = 84,478,973,548.86/257,551.80
  6. Step 6: Final answer
    x = 328,007.70

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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.