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Finding the Fourth Proportional to 289,407.47, 434,259.23 and 137,775.87

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Solution

The fourth proportional to 289,407.47, 434,259.23 and 137,775.87 is: 206,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,407.47 : 434,259.23 = 137,775.87 : x
  2. Step 2: Convert to fraction form
    289,407.47/434,259.23 = 137,775.87/x
  3. Step 3: Cross multiply
    289,407.47x = 434,259.23 × 137,775.87
  4. Step 4: Simplify right side
    289,407.47x = 59,830,442,529.90
  5. Step 5: Solve for x
    x = 59,830,442,529.90/289,407.47
  6. Step 6: Final answer
    x = 206,734.28

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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.