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Finding the Fourth Proportional to 428,967.79, 643,054.37 and 158,945.48

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Solution

The fourth proportional to 428,967.79, 643,054.37 and 158,945.48 is: 238,271.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,967.79 : 643,054.37 = 158,945.48 : x
  2. Step 2: Convert to fraction form
    428,967.79/643,054.37 = 158,945.48/x
  3. Step 3: Cross multiply
    428,967.79x = 643,054.37 × 158,945.48
  4. Step 4: Simplify right side
    428,967.79x = 102,210,585,473.10
  5. Step 5: Solve for x
    x = 102,210,585,473.10/428,967.79
  6. Step 6: Final answer
    x = 238,271.00

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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.