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Finding the Fourth Proportional to 287,515.20, 431,272.80 and 130,051.20

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Solution

The fourth proportional to 287,515.20, 431,272.80 and 130,051.20 is: 195,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,515.20 : 431,272.80 = 130,051.20 : x
  2. Step 2: Convert to fraction form
    287,515.20/431,272.80 = 130,051.20/x
  3. Step 3: Cross multiply
    287,515.20x = 431,272.80 × 130,051.20
  4. Step 4: Simplify right side
    287,515.20x = 56,087,545,167.36
  5. Step 5: Solve for x
    x = 56,087,545,167.36/287,515.20
  6. Step 6: Final answer
    x = 195,076.80

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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.