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Finding the Fourth Proportional to 407,829.60, 611,744.40 and 348,780.60

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Solution

The fourth proportional to 407,829.60, 611,744.40 and 348,780.60 is: 523,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,829.60 : 611,744.40 = 348,780.60 : x
  2. Step 2: Convert to fraction form
    407,829.60/611,744.40 = 348,780.60/x
  3. Step 3: Cross multiply
    407,829.60x = 611,744.40 × 348,780.60
  4. Step 4: Simplify right side
    407,829.60x = 213,364,578,878.64
  5. Step 5: Solve for x
    x = 213,364,578,878.64/407,829.60
  6. Step 6: Final answer
    x = 523,170.90

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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.