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Finding the Fourth Proportional to 389,609.90, 584,411.10 and 209,779.37

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Solution

The fourth proportional to 389,609.90, 584,411.10 and 209,779.37 is: 314,667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,609.90 : 584,411.10 = 209,779.37 : x
  2. Step 2: Convert to fraction form
    389,609.90/584,411.10 = 209,779.37/x
  3. Step 3: Cross multiply
    389,609.90x = 584,411.10 × 209,779.37
  4. Step 4: Simplify right side
    389,609.90x = 122,597,392,041.83
  5. Step 5: Solve for x
    x = 122,597,392,041.83/389,609.90
  6. Step 6: Final answer
    x = 314,667.04

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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.