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Finding the Fourth Proportional to 287,301.02, 430,886.73 and 109,744.70

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Solution

The fourth proportional to 287,301.02, 430,886.73 and 109,744.70 is: 164,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,301.02 : 430,886.73 = 109,744.70 : x
  2. Step 2: Convert to fraction form
    287,301.02/430,886.73 = 109,744.70/x
  3. Step 3: Cross multiply
    287,301.02x = 430,886.73 × 109,744.70
  4. Step 4: Simplify right side
    287,301.02x = 47,287,534,917.83
  5. Step 5: Solve for x
    x = 47,287,534,917.83/287,301.02
  6. Step 6: Final answer
    x = 164,592.30

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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.