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Finding the Fourth Proportional to 288,803.08, 433,096.74 and 99,209.62

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Solution

The fourth proportional to 288,803.08, 433,096.74 and 99,209.62 is: 148,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,803.08 : 433,096.74 = 99,209.62 : x
  2. Step 2: Convert to fraction form
    288,803.08/433,096.74 = 99,209.62/x
  3. Step 3: Cross multiply
    288,803.08x = 433,096.74 × 99,209.62
  4. Step 4: Simplify right side
    288,803.08x = 42,967,362,998.64
  5. Step 5: Solve for x
    x = 42,967,362,998.64/288,803.08
  6. Step 6: Final answer
    x = 148,777.37

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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.