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Finding the Fourth Proportional to 405,459.19, 608,274.65 and 121,171.87

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Solution

The fourth proportional to 405,459.19, 608,274.65 and 121,171.87 is: 181,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,459.19 : 608,274.65 = 121,171.87 : x
  2. Step 2: Convert to fraction form
    405,459.19/608,274.65 = 121,171.87/x
  3. Step 3: Cross multiply
    405,459.19x = 608,274.65 × 121,171.87
  4. Step 4: Simplify right side
    405,459.19x = 73,705,776,814.10
  5. Step 5: Solve for x
    x = 73,705,776,814.10/405,459.19
  6. Step 6: Final answer
    x = 181,783.47

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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.