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Finding the Fourth Proportional to 390,767.81, 586,069.69 and 110,219.45

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Solution

The fourth proportional to 390,767.81, 586,069.69 and 110,219.45 is: 165,306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,767.81 : 586,069.69 = 110,219.45 : x
  2. Step 2: Convert to fraction form
    390,767.81/586,069.69 = 110,219.45/x
  3. Step 3: Cross multiply
    390,767.81x = 586,069.69 × 110,219.45
  4. Step 4: Simplify right side
    390,767.81x = 64,596,278,893.47
  5. Step 5: Solve for x
    x = 64,596,278,893.47/390,767.81
  6. Step 6: Final answer
    x = 165,306.04

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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.