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Finding the Fourth Proportional to 420,554.71, 580,573.67 and 259,498.50

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Solution

The fourth proportional to 420,554.71, 580,573.67 and 259,498.50 is: 358,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,554.71 : 580,573.67 = 259,498.50 : x
  2. Step 2: Convert to fraction form
    420,554.71/580,573.67 = 259,498.50/x
  3. Step 3: Cross multiply
    420,554.71x = 580,573.67 × 259,498.50
  4. Step 4: Simplify right side
    420,554.71x = 150,657,996,504.50
  5. Step 5: Solve for x
    x = 150,657,996,504.50/420,554.71
  6. Step 6: Final answer
    x = 358,236.38

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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.