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Finding the Fourth Proportional to 289,149.48, 433,641 and 99,602.20

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Solution

The fourth proportional to 289,149.48, 433,641 and 99,602.20 is: 149,374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,149.48 : 433,641 = 99,602.20 : x
  2. Step 2: Convert to fraction form
    289,149.48/433,641 = 99,602.20/x
  3. Step 3: Cross multiply
    289,149.48x = 433,641 × 99,602.20
  4. Step 4: Simplify right side
    289,149.48x = 43,191,597,610.20
  5. Step 5: Solve for x
    x = 43,191,597,610.20/289,149.48
  6. Step 6: Final answer
    x = 149,374.63

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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.