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Finding the Fourth Proportional to 474,518.60, 711,974.46 and 208,141.64

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Solution

The fourth proportional to 474,518.60, 711,974.46 and 208,141.64 is: 312,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,518.60 : 711,974.46 = 208,141.64 : x
  2. Step 2: Convert to fraction form
    474,518.60/711,974.46 = 208,141.64/x
  3. Step 3: Cross multiply
    474,518.60x = 711,974.46 × 208,141.64
  4. Step 4: Simplify right side
    474,518.60x = 148,191,531,742.51
  5. Step 5: Solve for x
    x = 148,191,531,742.51/474,518.60
  6. Step 6: Final answer
    x = 312,298.68

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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.