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Finding the Fourth Proportional to 423,065.80, 634,944.30 and 409,241.80

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Solution

The fourth proportional to 423,065.80, 634,944.30 and 409,241.80 is: 614,197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,065.80 : 634,944.30 = 409,241.80 : x
  2. Step 2: Convert to fraction form
    423,065.80/634,944.30 = 409,241.80/x
  3. Step 3: Cross multiply
    423,065.80x = 634,944.30 × 409,241.80
  4. Step 4: Simplify right side
    423,065.80x = 259,845,748,231.74
  5. Step 5: Solve for x
    x = 259,845,748,231.74/423,065.80
  6. Step 6: Final answer
    x = 614,197.01

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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.