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Finding the Fourth Proportional to 288,974.80, 433,289.40 and 149,006.80

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Solution

The fourth proportional to 288,974.80, 433,289.40 and 149,006.80 is: 223,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,974.80 : 433,289.40 = 149,006.80 : x
  2. Step 2: Convert to fraction form
    288,974.80/433,289.40 = 149,006.80/x
  3. Step 3: Cross multiply
    288,974.80x = 433,289.40 × 149,006.80
  4. Step 4: Simplify right side
    288,974.80x = 64,563,066,967.92
  5. Step 5: Solve for x
    x = 64,563,066,967.92/288,974.80
  6. Step 6: Final answer
    x = 223,421.10

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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.