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Finding the Fourth Proportional to 310,567.92, 428,658.84 and 289,555.44

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Solution

The fourth proportional to 310,567.92, 428,658.84 and 289,555.44 is: 399,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,567.92 : 428,658.84 = 289,555.44 : x
  2. Step 2: Convert to fraction form
    310,567.92/428,658.84 = 289,555.44/x
  3. Step 3: Cross multiply
    310,567.92x = 428,658.84 × 289,555.44
  4. Step 4: Simplify right side
    310,567.92x = 124,120,499,026.09
  5. Step 5: Solve for x
    x = 124,120,499,026.09/310,567.92
  6. Step 6: Final answer
    x = 399,656.54

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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.