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Finding the Fourth Proportional to 428,888.16, 643,328.28 and 109,040.76

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Solution

The fourth proportional to 428,888.16, 643,328.28 and 109,040.76 is: 163,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,888.16 : 643,328.28 = 109,040.76 : x
  2. Step 2: Convert to fraction form
    428,888.16/643,328.28 = 109,040.76/x
  3. Step 3: Cross multiply
    428,888.16x = 643,328.28 × 109,040.76
  4. Step 4: Simplify right side
    428,888.16x = 70,149,004,580.69
  5. Step 5: Solve for x
    x = 70,149,004,580.69/428,888.16
  6. Step 6: Final answer
    x = 163,560.13

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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.