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Finding the Fourth Proportional to 287,302.85, 430,810.08 and 167,398.55

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Solution

The fourth proportional to 287,302.85, 430,810.08 and 167,398.55 is: 251,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,302.85 : 430,810.08 = 167,398.55 : x
  2. Step 2: Convert to fraction form
    287,302.85/430,810.08 = 167,398.55/x
  3. Step 3: Cross multiply
    287,302.85x = 430,810.08 × 167,398.55
  4. Step 4: Simplify right side
    287,302.85x = 72,116,980,563.33
  5. Step 5: Solve for x
    x = 72,116,980,563.33/287,302.85
  6. Step 6: Final answer
    x = 251,013.81

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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.