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Finding the Fourth Proportional to 389,495.93, 584,505.72 and 136,778.36

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Solution

The fourth proportional to 389,495.93, 584,505.72 and 136,778.36 is: 205,259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,495.93 : 584,505.72 = 136,778.36 : x
  2. Step 2: Convert to fraction form
    389,495.93/584,505.72 = 136,778.36/x
  3. Step 3: Cross multiply
    389,495.93x = 584,505.72 × 136,778.36
  4. Step 4: Simplify right side
    389,495.93x = 79,947,730,869.69
  5. Step 5: Solve for x
    x = 79,947,730,869.69/389,495.93
  6. Step 6: Final answer
    x = 205,259.48

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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.