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Finding the Fourth Proportional to 294,561.60, 442,360.80 and 285,230.40

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Solution

The fourth proportional to 294,561.60, 442,360.80 and 285,230.40 is: 428,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,561.60 : 442,360.80 = 285,230.40 : x
  2. Step 2: Convert to fraction form
    294,561.60/442,360.80 = 285,230.40/x
  3. Step 3: Cross multiply
    294,561.60x = 442,360.80 × 285,230.40
  4. Step 4: Simplify right side
    294,561.60x = 126,174,747,928.32
  5. Step 5: Solve for x
    x = 126,174,747,928.32/294,561.60
  6. Step 6: Final answer
    x = 428,347.58

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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.