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Finding the Fourth Proportional to 390,768.32, 586,070.44 and 110,219.96

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Solution

The fourth proportional to 390,768.32, 586,070.44 and 110,219.96 is: 165,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,768.32 : 586,070.44 = 110,219.96 : x
  2. Step 2: Convert to fraction form
    390,768.32/586,070.44 = 110,219.96/x
  3. Step 3: Cross multiply
    390,768.32x = 586,070.44 × 110,219.96
  4. Step 4: Simplify right side
    390,768.32x = 64,596,660,453.98
  5. Step 5: Solve for x
    x = 64,596,660,453.98/390,768.32
  6. Step 6: Final answer
    x = 165,306.80

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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.