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Finding the Fourth Proportional to 354,149.40, 488,711.90 and 193,000.98

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Solution

The fourth proportional to 354,149.40, 488,711.90 and 193,000.98 is: 266,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,149.40 : 488,711.90 = 193,000.98 : x
  2. Step 2: Convert to fraction form
    354,149.40/488,711.90 = 193,000.98/x
  3. Step 3: Cross multiply
    354,149.40x = 488,711.90 × 193,000.98
  4. Step 4: Simplify right side
    354,149.40x = 94,321,875,637.66
  5. Step 5: Solve for x
    x = 94,321,875,637.66/354,149.40
  6. Step 6: Final answer
    x = 266,333.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.