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Finding the Fourth Proportional to 428,322.60, 590,133.60 and 282,870.09

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Solution

The fourth proportional to 428,322.60, 590,133.60 and 282,870.09 is: 389,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,322.60 : 590,133.60 = 282,870.09 : x
  2. Step 2: Convert to fraction form
    428,322.60/590,133.60 = 282,870.09/x
  3. Step 3: Cross multiply
    428,322.60x = 590,133.60 × 282,870.09
  4. Step 4: Simplify right side
    428,322.60x = 166,931,144,544.02
  5. Step 5: Solve for x
    x = 166,931,144,544.02/428,322.60
  6. Step 6: Final answer
    x = 389,732.28

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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.