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Finding the Fourth Proportional to 405,871.60, 608,807.40 and 125,417.20

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Solution

The fourth proportional to 405,871.60, 608,807.40 and 125,417.20 is: 188,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,871.60 : 608,807.40 = 125,417.20 : x
  2. Step 2: Convert to fraction form
    405,871.60/608,807.40 = 125,417.20/x
  3. Step 3: Cross multiply
    405,871.60x = 608,807.40 × 125,417.20
  4. Step 4: Simplify right side
    405,871.60x = 76,354,919,447.28
  5. Step 5: Solve for x
    x = 76,354,919,447.28/405,871.60
  6. Step 6: Final answer
    x = 188,125.80

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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.