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Finding the Fourth Proportional to 446,355.78, 615,969 and 242,405.10

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Solution

The fourth proportional to 446,355.78, 615,969 and 242,405.10 is: 334,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,355.78 : 615,969 = 242,405.10 : x
  2. Step 2: Convert to fraction form
    446,355.78/615,969 = 242,405.10/x
  3. Step 3: Cross multiply
    446,355.78x = 615,969 × 242,405.10
  4. Step 4: Simplify right side
    446,355.78x = 149,314,027,041.90
  5. Step 5: Solve for x
    x = 149,314,027,041.90/446,355.78
  6. Step 6: Final answer
    x = 334,517.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.