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Finding the Fourth Proportional to 491,384.90, 737,254.74 and 171,583.92

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Solution

The fourth proportional to 491,384.90, 737,254.74 and 171,583.92 is: 257,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,384.90 : 737,254.74 = 171,583.92 : x
  2. Step 2: Convert to fraction form
    491,384.90/737,254.74 = 171,583.92/x
  3. Step 3: Cross multiply
    491,384.90x = 737,254.74 × 171,583.92
  4. Step 4: Simplify right side
    491,384.90x = 126,501,058,971.22
  5. Step 5: Solve for x
    x = 126,501,058,971.22/491,384.90
  6. Step 6: Final answer
    x = 257,437.82

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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.