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Finding the Fourth Proportional to 405,740.64, 608,642.61 and 135,869.76

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Solution

The fourth proportional to 405,740.64, 608,642.61 and 135,869.76 is: 203,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,740.64 : 608,642.61 = 135,869.76 : x
  2. Step 2: Convert to fraction form
    405,740.64/608,642.61 = 135,869.76/x
  3. Step 3: Cross multiply
    405,740.64x = 608,642.61 × 135,869.76
  4. Step 4: Simplify right side
    405,740.64x = 82,696,125,346.47
  5. Step 5: Solve for x
    x = 82,696,125,346.47/405,740.64
  6. Step 6: Final answer
    x = 203,815.24

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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.