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Finding the Fourth Proportional to 457,955.40, 632,291.22 and 286,134.96

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Solution

The fourth proportional to 457,955.40, 632,291.22 and 286,134.96 is: 395,061.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,955.40 : 632,291.22 = 286,134.96 : x
  2. Step 2: Convert to fraction form
    457,955.40/632,291.22 = 286,134.96/x
  3. Step 3: Cross multiply
    457,955.40x = 632,291.22 × 286,134.96
  4. Step 4: Simplify right side
    457,955.40x = 180,920,622,943.05
  5. Step 5: Solve for x
    x = 180,920,622,943.05/457,955.40
  6. Step 6: Final answer
    x = 395,061.67

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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.