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Finding the Fourth Proportional to 420,595.88, 580,630.43 and 259,539.62

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Solution

The fourth proportional to 420,595.88, 580,630.43 and 259,539.62 is: 358,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,595.88 : 580,630.43 = 259,539.62 : x
  2. Step 2: Convert to fraction form
    420,595.88/580,630.43 = 259,539.62/x
  3. Step 3: Cross multiply
    420,595.88x = 580,630.43 × 259,539.62
  4. Step 4: Simplify right side
    420,595.88x = 150,696,599,864.94
  5. Step 5: Solve for x
    x = 150,696,599,864.94/420,595.88
  6. Step 6: Final answer
    x = 358,293.10

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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.