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Finding the Fourth Proportional to 457,031.06, 686,597.63 and 322,404.98

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Solution

The fourth proportional to 457,031.06, 686,597.63 and 322,404.98 is: 484,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,031.06 : 686,597.63 = 322,404.98 : x
  2. Step 2: Convert to fraction form
    457,031.06/686,597.63 = 322,404.98/x
  3. Step 3: Cross multiply
    457,031.06x = 686,597.63 × 322,404.98
  4. Step 4: Simplify right side
    457,031.06x = 221,362,493,044.96
  5. Step 5: Solve for x
    x = 221,362,493,044.96/457,031.06
  6. Step 6: Final answer
    x = 484,348.91

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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.