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Finding the Fourth Proportional to 518,714.88, 777,760.80 and 202,795.36

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Solution

The fourth proportional to 518,714.88, 777,760.80 and 202,795.36 is: 304,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,714.88 : 777,760.80 = 202,795.36 : x
  2. Step 2: Convert to fraction form
    518,714.88/777,760.80 = 202,795.36/x
  3. Step 3: Cross multiply
    518,714.88x = 777,760.80 × 202,795.36
  4. Step 4: Simplify right side
    518,714.88x = 157,726,281,429.89
  5. Step 5: Solve for x
    x = 157,726,281,429.89/518,714.88
  6. Step 6: Final answer
    x = 304,071.25

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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.