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Finding the Fourth Proportional to 493,775.02, 681,703.19 and 312,642.21

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Solution

The fourth proportional to 493,775.02, 681,703.19 and 312,642.21 is: 431,632.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,775.02 : 681,703.19 = 312,642.21 : x
  2. Step 2: Convert to fraction form
    493,775.02/681,703.19 = 312,642.21/x
  3. Step 3: Cross multiply
    493,775.02x = 681,703.19 × 312,642.21
  4. Step 4: Simplify right side
    493,775.02x = 213,129,191,885.65
  5. Step 5: Solve for x
    x = 213,129,191,885.65/493,775.02
  6. Step 6: Final answer
    x = 431,632.19

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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.