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Finding the Fourth Proportional to 399,271.14, 550,994.94 and 256,031.28

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Solution

The fourth proportional to 399,271.14, 550,994.94 and 256,031.28 is: 353,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,271.14 : 550,994.94 = 256,031.28 : x
  2. Step 2: Convert to fraction form
    399,271.14/550,994.94 = 256,031.28/x
  3. Step 3: Cross multiply
    399,271.14x = 550,994.94 × 256,031.28
  4. Step 4: Simplify right side
    399,271.14x = 141,071,939,761.72
  5. Step 5: Solve for x
    x = 141,071,939,761.72/399,271.14
  6. Step 6: Final answer
    x = 353,323.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.