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Finding the Fourth Proportional to 287,652.34, 431,482.02 and 110,170

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Solution

The fourth proportional to 287,652.34, 431,482.02 and 110,170 is: 165,256.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,652.34 : 431,482.02 = 110,170 : x
  2. Step 2: Convert to fraction form
    287,652.34/431,482.02 = 110,170/x
  3. Step 3: Cross multiply
    287,652.34x = 431,482.02 × 110,170
  4. Step 4: Simplify right side
    287,652.34x = 47,536,374,143.40
  5. Step 5: Solve for x
    x = 47,536,374,143.40/287,652.34
  6. Step 6: Final answer
    x = 165,256.34

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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.