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Finding the Fourth Proportional to 540,950.20, 746,329.96 and 311,502.54

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Solution

The fourth proportional to 540,950.20, 746,329.96 and 311,502.54 is: 429,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,950.20 : 746,329.96 = 311,502.54 : x
  2. Step 2: Convert to fraction form
    540,950.20/746,329.96 = 311,502.54/x
  3. Step 3: Cross multiply
    540,950.20x = 746,329.96 × 311,502.54
  4. Step 4: Simplify right side
    540,950.20x = 232,483,678,218.10
  5. Step 5: Solve for x
    x = 232,483,678,218.10/540,950.20
  6. Step 6: Final answer
    x = 429,769.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.