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Finding the Fourth Proportional to 354,148.40, 488,710.52 and 192,999.98

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Solution

The fourth proportional to 354,148.40, 488,710.52 and 192,999.98 is: 266,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,148.40 : 488,710.52 = 192,999.98 : x
  2. Step 2: Convert to fraction form
    354,148.40/488,710.52 = 192,999.98/x
  3. Step 3: Cross multiply
    354,148.40x = 488,710.52 × 192,999.98
  4. Step 4: Simplify right side
    354,148.40x = 94,321,120,585.79
  5. Step 5: Solve for x
    x = 94,321,120,585.79/354,148.40
  6. Step 6: Final answer
    x = 266,332.19

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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.