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Finding the Fourth Proportional to 289,292.72, 433,967.60 and 99,728.15

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Solution

The fourth proportional to 289,292.72, 433,967.60 and 99,728.15 is: 149,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,292.72 : 433,967.60 = 99,728.15 : x
  2. Step 2: Convert to fraction form
    289,292.72/433,967.60 = 99,728.15/x
  3. Step 3: Cross multiply
    289,292.72x = 433,967.60 × 99,728.15
  4. Step 4: Simplify right side
    289,292.72x = 43,278,783,987.42
  5. Step 5: Solve for x
    x = 43,278,783,987.42/289,292.72
  6. Step 6: Final answer
    x = 149,602.05

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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.