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Finding the Fourth Proportional to 402,455.64, 603,770.58 and 121,994.04

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Solution

The fourth proportional to 402,455.64, 603,770.58 and 121,994.04 is: 183,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,455.64 : 603,770.58 = 121,994.04 : x
  2. Step 2: Convert to fraction form
    402,455.64/603,770.58 = 121,994.04/x
  3. Step 3: Cross multiply
    402,455.64x = 603,770.58 × 121,994.04
  4. Step 4: Simplify right side
    402,455.64x = 73,656,412,287.34
  5. Step 5: Solve for x
    x = 73,656,412,287.34/402,455.64
  6. Step 6: Final answer
    x = 183,017.47

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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.