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Finding the Fourth Proportional to 405,101.40, 607,652.10 and 168,419.40

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Solution

The fourth proportional to 405,101.40, 607,652.10 and 168,419.40 is: 252,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,101.40 : 607,652.10 = 168,419.40 : x
  2. Step 2: Convert to fraction form
    405,101.40/607,652.10 = 168,419.40/x
  3. Step 3: Cross multiply
    405,101.40x = 607,652.10 × 168,419.40
  4. Step 4: Simplify right side
    405,101.40x = 102,340,402,090.74
  5. Step 5: Solve for x
    x = 102,340,402,090.74/405,101.40
  6. Step 6: Final answer
    x = 252,629.10

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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.