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Finding the Fourth Proportional to 384,643.72, 577,031.19 and 171,488.98

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Solution

The fourth proportional to 384,643.72, 577,031.19 and 171,488.98 is: 257,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,643.72 : 577,031.19 = 171,488.98 : x
  2. Step 2: Convert to fraction form
    384,643.72/577,031.19 = 171,488.98/x
  3. Step 3: Cross multiply
    384,643.72x = 577,031.19 × 171,488.98
  4. Step 4: Simplify right side
    384,643.72x = 98,954,486,458.69
  5. Step 5: Solve for x
    x = 98,954,486,458.69/384,643.72
  6. Step 6: Final answer
    x = 257,262.72

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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.