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Finding the Fourth Proportional to 390,635.41, 586,009.25 and 120,784.57

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Solution

The fourth proportional to 390,635.41, 586,009.25 and 120,784.57 is: 181,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,635.41 : 586,009.25 = 120,784.57 : x
  2. Step 2: Convert to fraction form
    390,635.41/586,009.25 = 120,784.57/x
  3. Step 3: Cross multiply
    390,635.41x = 586,009.25 × 120,784.57
  4. Step 4: Simplify right side
    390,635.41x = 70,780,875,277.27
  5. Step 5: Solve for x
    x = 70,780,875,277.27/390,635.41
  6. Step 6: Final answer
    x = 181,194.21

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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.