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Finding the Fourth Proportional to 409,643.60, 613,428.60 and 326,699.60

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Solution

The fourth proportional to 409,643.60, 613,428.60 and 326,699.60 is: 489,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,643.60 : 613,428.60 = 326,699.60 : x
  2. Step 2: Convert to fraction form
    409,643.60/613,428.60 = 326,699.60/x
  3. Step 3: Cross multiply
    409,643.60x = 613,428.60 × 326,699.60
  4. Step 4: Simplify right side
    409,643.60x = 200,406,878,248.56
  5. Step 5: Solve for x
    x = 200,406,878,248.56/409,643.60
  6. Step 6: Final answer
    x = 489,222.53

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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.