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Finding the Fourth Proportional to 428,473.71, 590,986.67 and 283,111.11

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Solution

The fourth proportional to 428,473.71, 590,986.67 and 283,111.11 is: 390,490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,473.71 : 590,986.67 = 283,111.11 : x
  2. Step 2: Convert to fraction form
    428,473.71/590,986.67 = 283,111.11/x
  3. Step 3: Cross multiply
    428,473.71x = 590,986.67 × 283,111.11
  4. Step 4: Simplify right side
    428,473.71x = 167,314,890,723.35
  5. Step 5: Solve for x
    x = 167,314,890,723.35/428,473.71
  6. Step 6: Final answer
    x = 390,490.45

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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.