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Finding the Fourth Proportional to 457,967.12, 632,308.02 and 286,147.22

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Solution

The fourth proportional to 457,967.12, 632,308.02 and 286,147.22 is: 395,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,967.12 : 632,308.02 = 286,147.22 : x
  2. Step 2: Convert to fraction form
    457,967.12/632,308.02 = 286,147.22/x
  3. Step 3: Cross multiply
    457,967.12x = 632,308.02 × 286,147.22
  4. Step 4: Simplify right side
    457,967.12x = 180,933,182,106.70
  5. Step 5: Solve for x
    x = 180,933,182,106.70/457,967.12
  6. Step 6: Final answer
    x = 395,078.98

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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.