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Finding the Fourth Proportional to 287,304.85, 430,813.08 and 167,400.55

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Solution

The fourth proportional to 287,304.85, 430,813.08 and 167,400.55 is: 251,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,304.85 : 430,813.08 = 167,400.55 : x
  2. Step 2: Convert to fraction form
    287,304.85/430,813.08 = 167,400.55/x
  3. Step 3: Cross multiply
    287,304.85x = 430,813.08 × 167,400.55
  4. Step 4: Simplify right side
    287,304.85x = 72,118,346,539.19
  5. Step 5: Solve for x
    x = 72,118,346,539.19/287,304.85
  6. Step 6: Final answer
    x = 251,016.81

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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.