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Finding the Fourth Proportional to 289,419.59, 433,897.54 and 137,540.45

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Solution

The fourth proportional to 289,419.59, 433,897.54 and 137,540.45 is: 206,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,419.59 : 433,897.54 = 137,540.45 : x
  2. Step 2: Convert to fraction form
    289,419.59/433,897.54 = 137,540.45/x
  3. Step 3: Cross multiply
    289,419.59x = 433,897.54 × 137,540.45
  4. Step 4: Simplify right side
    289,419.59x = 59,678,461,079.86
  5. Step 5: Solve for x
    x = 59,678,461,079.86/289,419.59
  6. Step 6: Final answer
    x = 206,200.49

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1.5x scale

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.