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Finding the Fourth Proportional to 456,813.60, 683,276.40 and 409,768.80

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Solution

The fourth proportional to 456,813.60, 683,276.40 and 409,768.80 is: 612,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,813.60 : 683,276.40 = 409,768.80 : x
  2. Step 2: Convert to fraction form
    456,813.60/683,276.40 = 409,768.80/x
  3. Step 3: Cross multiply
    456,813.60x = 683,276.40 × 409,768.80
  4. Step 4: Simplify right side
    456,813.60x = 279,985,350,496.32
  5. Step 5: Solve for x
    x = 279,985,350,496.32/456,813.60
  6. Step 6: Final answer
    x = 612,909.40

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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.