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Finding the Fourth Proportional to 287,165.10, 430,747.55 and 76,797.57

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Solution

The fourth proportional to 287,165.10, 430,747.55 and 76,797.57 is: 115,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,165.10 : 430,747.55 = 76,797.57 : x
  2. Step 2: Convert to fraction form
    287,165.10/430,747.55 = 76,797.57/x
  3. Step 3: Cross multiply
    287,165.10x = 430,747.55 × 76,797.57
  4. Step 4: Simplify right side
    287,165.10x = 33,080,364,003.81
  5. Step 5: Solve for x
    x = 33,080,364,003.81/287,165.10
  6. Step 6: Final answer
    x = 115,196.33

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1.5x scale

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.