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Finding the Fourth Proportional to 287,312.64, 430,957.44 and 109,812.48

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Solution

The fourth proportional to 287,312.64, 430,957.44 and 109,812.48 is: 164,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,312.64 : 430,957.44 = 109,812.48 : x
  2. Step 2: Convert to fraction form
    287,312.64/430,957.44 = 109,812.48/x
  3. Step 3: Cross multiply
    287,312.64x = 430,957.44 × 109,812.48
  4. Step 4: Simplify right side
    287,312.64x = 47,324,505,260.85
  5. Step 5: Solve for x
    x = 47,324,505,260.85/287,312.64
  6. Step 6: Final answer
    x = 164,714.32

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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.