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Finding the Fourth Proportional to 407,445.68, 612,164.88 and 384,785.60

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Solution

The fourth proportional to 407,445.68, 612,164.88 and 384,785.60 is: 578,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,445.68 : 612,164.88 = 384,785.60 : x
  2. Step 2: Convert to fraction form
    407,445.68/612,164.88 = 384,785.60/x
  3. Step 3: Cross multiply
    407,445.68x = 612,164.88 × 384,785.60
  4. Step 4: Simplify right side
    407,445.68x = 235,552,230,649.73
  5. Step 5: Solve for x
    x = 235,552,230,649.73/407,445.68
  6. Step 6: Final answer
    x = 578,119.35

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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.