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Finding the Fourth Proportional to 564,221.80, 778,627.02 and 309,574.81

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Solution

The fourth proportional to 564,221.80, 778,627.02 and 309,574.81 is: 427,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,221.80 : 778,627.02 = 309,574.81 : x
  2. Step 2: Convert to fraction form
    564,221.80/778,627.02 = 309,574.81/x
  3. Step 3: Cross multiply
    564,221.80x = 778,627.02 × 309,574.81
  4. Step 4: Simplify right side
    564,221.80x = 241,043,311,777.37
  5. Step 5: Solve for x
    x = 241,043,311,777.37/564,221.80
  6. Step 6: Final answer
    x = 427,213.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.