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Finding the Fourth Proportional to 577,116.09, 865,717.62 and 172,276.32

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Solution

The fourth proportional to 577,116.09, 865,717.62 and 172,276.32 is: 258,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,116.09 : 865,717.62 = 172,276.32 : x
  2. Step 2: Convert to fraction form
    577,116.09/865,717.62 = 172,276.32/x
  3. Step 3: Cross multiply
    577,116.09x = 865,717.62 × 172,276.32
  4. Step 4: Simplify right side
    577,116.09x = 149,142,645,732.76
  5. Step 5: Solve for x
    x = 149,142,645,732.76/577,116.09
  6. Step 6: Final answer
    x = 258,427.46

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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.