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Finding the Fourth Proportional to 208,989.47, 288,493.73 and 141,098.42

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Solution

The fourth proportional to 208,989.47, 288,493.73 and 141,098.42 is: 194,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,989.47 : 288,493.73 = 141,098.42 : x
  2. Step 2: Convert to fraction form
    208,989.47/288,493.73 = 141,098.42/x
  3. Step 3: Cross multiply
    208,989.47x = 288,493.73 × 141,098.42
  4. Step 4: Simplify right side
    208,989.47x = 40,706,009,482.91
  5. Step 5: Solve for x
    x = 40,706,009,482.91/208,989.47
  6. Step 6: Final answer
    x = 194,775.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.