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Finding the Fourth Proportional to 384,645.72, 577,034.19 and 171,490.98

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Solution

The fourth proportional to 384,645.72, 577,034.19 and 171,490.98 is: 257,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,645.72 : 577,034.19 = 171,490.98 : x
  2. Step 2: Convert to fraction form
    384,645.72/577,034.19 = 171,490.98/x
  3. Step 3: Cross multiply
    384,645.72x = 577,034.19 × 171,490.98
  4. Step 4: Simplify right side
    384,645.72x = 98,956,158,736.61
  5. Step 5: Solve for x
    x = 98,956,158,736.61/384,645.72
  6. Step 6: Final answer
    x = 257,265.72

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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.