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Finding the Fourth Proportional to 509,937.30, 765,015.30 and 154,987.20

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Solution

The fourth proportional to 509,937.30, 765,015.30 and 154,987.20 is: 232,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,937.30 : 765,015.30 = 154,987.20 : x
  2. Step 2: Convert to fraction form
    509,937.30/765,015.30 = 154,987.20/x
  3. Step 3: Cross multiply
    509,937.30x = 765,015.30 × 154,987.20
  4. Step 4: Simplify right side
    509,937.30x = 118,567,579,304.16
  5. Step 5: Solve for x
    x = 118,567,579,304.16/509,937.30
  6. Step 6: Final answer
    x = 232,514.04

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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.