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Finding the Fourth Proportional to 305,211.80, 457,860.90 and 94,827.80

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Solution

The fourth proportional to 305,211.80, 457,860.90 and 94,827.80 is: 142,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,211.80 : 457,860.90 = 94,827.80 : x
  2. Step 2: Convert to fraction form
    305,211.80/457,860.90 = 94,827.80/x
  3. Step 3: Cross multiply
    305,211.80x = 457,860.90 × 94,827.80
  4. Step 4: Simplify right side
    305,211.80x = 43,417,941,853.02
  5. Step 5: Solve for x
    x = 43,417,941,853.02/305,211.80
  6. Step 6: Final answer
    x = 142,255.12

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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.