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Finding the Fourth Proportional to 458,410.10, 685,671.15 and 411,365.30

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Solution

The fourth proportional to 458,410.10, 685,671.15 and 411,365.30 is: 615,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,410.10 : 685,671.15 = 411,365.30 : x
  2. Step 2: Convert to fraction form
    458,410.10/685,671.15 = 411,365.30/x
  3. Step 3: Cross multiply
    458,410.10x = 685,671.15 × 411,365.30
  4. Step 4: Simplify right side
    458,410.10x = 282,061,318,321.10
  5. Step 5: Solve for x
    x = 282,061,318,321.10/458,410.10
  6. Step 6: Final answer
    x = 615,303.45

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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.