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Finding the Fourth Proportional to 614,435.10, 921,652.65 and 401,858.70

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Solution

The fourth proportional to 614,435.10, 921,652.65 and 401,858.70 is: 602,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,435.10 : 921,652.65 = 401,858.70 : x
  2. Step 2: Convert to fraction form
    614,435.10/921,652.65 = 401,858.70/x
  3. Step 3: Cross multiply
    614,435.10x = 921,652.65 × 401,858.70
  4. Step 4: Simplify right side
    614,435.10x = 370,374,135,780.56
  5. Step 5: Solve for x
    x = 370,374,135,780.56/614,435.10
  6. Step 6: Final answer
    x = 602,788.05

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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.