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Finding the Fourth Proportional to 428,780.81, 591,713.40 and 235,184.50

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Solution

The fourth proportional to 428,780.81, 591,713.40 and 235,184.50 is: 324,552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,780.81 : 591,713.40 = 235,184.50 : x
  2. Step 2: Convert to fraction form
    428,780.81/591,713.40 = 235,184.50/x
  3. Step 3: Cross multiply
    428,780.81x = 591,713.40 × 235,184.50
  4. Step 4: Simplify right side
    428,780.81x = 139,161,818,415.50
  5. Step 5: Solve for x
    x = 139,161,818,415.50/428,780.81
  6. Step 6: Final answer
    x = 324,552.35

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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.