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Finding the Fourth Proportional to 577,114.09, 865,714.62 and 172,274.32

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Solution

The fourth proportional to 577,114.09, 865,714.62 and 172,274.32 is: 258,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,114.09 : 865,714.62 = 172,274.32 : x
  2. Step 2: Convert to fraction form
    577,114.09/865,714.62 = 172,274.32/x
  3. Step 3: Cross multiply
    577,114.09x = 865,714.62 × 172,274.32
  4. Step 4: Simplify right side
    577,114.09x = 149,140,393,145.99
  5. Step 5: Solve for x
    x = 149,140,393,145.99/577,114.09
  6. Step 6: Final answer
    x = 258,424.46

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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.