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Finding the Fourth Proportional to 497,031.80, 745,644.90 and 212,721.80

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Solution

The fourth proportional to 497,031.80, 745,644.90 and 212,721.80 is: 319,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,031.80 : 745,644.90 = 212,721.80 : x
  2. Step 2: Convert to fraction form
    497,031.80/745,644.90 = 212,721.80/x
  3. Step 3: Cross multiply
    497,031.80x = 745,644.90 × 212,721.80
  4. Step 4: Simplify right side
    497,031.80x = 158,614,925,288.82
  5. Step 5: Solve for x
    x = 158,614,925,288.82/497,031.80
  6. Step 6: Final answer
    x = 319,124.30

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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.