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Finding the Fourth Proportional to 252,303.84, 378,494.64 and 74,838.24

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Solution

The fourth proportional to 252,303.84, 378,494.64 and 74,838.24 is: 112,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,303.84 : 378,494.64 = 74,838.24 : x
  2. Step 2: Convert to fraction form
    252,303.84/378,494.64 = 74,838.24/x
  3. Step 3: Cross multiply
    252,303.84x = 378,494.64 × 74,838.24
  4. Step 4: Simplify right side
    252,303.84x = 28,325,872,707.03
  5. Step 5: Solve for x
    x = 28,325,872,707.03/252,303.84
  6. Step 6: Final answer
    x = 112,268.89

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1.5x scale

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.