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Finding the Fourth Proportional to 435,998.80, 611,798 and 435,998.80

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Solution

The fourth proportional to 435,998.80, 611,798 and 435,998.80 is: 611,798

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,998.80 : 611,798 = 435,998.80 : x
  2. Step 2: Convert to fraction form
    435,998.80/611,798 = 435,998.80/x
  3. Step 3: Cross multiply
    435,998.80x = 611,798 × 435,998.80
  4. Step 4: Simplify right side
    435,998.80x = 266,743,193,842.40
  5. Step 5: Solve for x
    x = 266,743,193,842.40/435,998.80
  6. Step 6: Final answer
    x = 611,798

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.