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Finding the Fourth Proportional to 456,825.60, 683,294.40 and 409,780.80

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Solution

The fourth proportional to 456,825.60, 683,294.40 and 409,780.80 is: 612,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,825.60 : 683,294.40 = 409,780.80 : x
  2. Step 2: Convert to fraction form
    456,825.60/683,294.40 = 409,780.80/x
  3. Step 3: Cross multiply
    456,825.60x = 683,294.40 × 409,780.80
  4. Step 4: Simplify right side
    456,825.60x = 280,000,925,867.52
  5. Step 5: Solve for x
    x = 280,000,925,867.52/456,825.60
  6. Step 6: Final answer
    x = 612,927.40

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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.