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Finding the Fourth Proportional to 390,990.76, 586,536.90 and 110,514.76

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Solution

The fourth proportional to 390,990.76, 586,536.90 and 110,514.76 is: 165,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,990.76 : 586,536.90 = 110,514.76 : x
  2. Step 2: Convert to fraction form
    390,990.76/586,536.90 = 110,514.76/x
  3. Step 3: Cross multiply
    390,990.76x = 586,536.90 × 110,514.76
  4. Step 4: Simplify right side
    390,990.76x = 64,820,984,734.64
  5. Step 5: Solve for x
    x = 64,820,984,734.64/390,990.76
  6. Step 6: Final answer
    x = 165,786.49

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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.