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Finding the Fourth Proportional to 389,506.08, 584,343.72 and 119,635.20

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Solution

The fourth proportional to 389,506.08, 584,343.72 and 119,635.20 is: 179,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,506.08 : 584,343.72 = 119,635.20 : x
  2. Step 2: Convert to fraction form
    389,506.08/584,343.72 = 119,635.20/x
  3. Step 3: Cross multiply
    389,506.08x = 584,343.72 × 119,635.20
  4. Step 4: Simplify right side
    389,506.08x = 69,908,077,810.94
  5. Step 5: Solve for x
    x = 69,908,077,810.94/389,506.08
  6. Step 6: Final answer
    x = 179,478.78

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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.