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Finding the Fourth Proportional to 407,448.68, 612,169.38 and 384,788.60

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Solution

The fourth proportional to 407,448.68, 612,169.38 and 384,788.60 is: 578,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,448.68 : 612,169.38 = 384,788.60 : x
  2. Step 2: Convert to fraction form
    407,448.68/612,169.38 = 384,788.60/x
  3. Step 3: Cross multiply
    407,448.68x = 612,169.38 × 384,788.60
  4. Step 4: Simplify right side
    407,448.68x = 235,555,798,693.07
  5. Step 5: Solve for x
    x = 235,555,798,693.07/407,448.68
  6. Step 6: Final answer
    x = 578,123.85

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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.