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Finding the Fourth Proportional to 305,645.80, 458,468.70 and 289,316.20

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Solution

The fourth proportional to 305,645.80, 458,468.70 and 289,316.20 is: 433,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,645.80 : 458,468.70 = 289,316.20 : x
  2. Step 2: Convert to fraction form
    305,645.80/458,468.70 = 289,316.20/x
  3. Step 3: Cross multiply
    305,645.80x = 458,468.70 × 289,316.20
  4. Step 4: Simplify right side
    305,645.80x = 132,642,422,102.94
  5. Step 5: Solve for x
    x = 132,642,422,102.94/305,645.80
  6. Step 6: Final answer
    x = 433,974.30

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1.5x scale

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.