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Finding the Fourth Proportional to 493,504.74, 681,041.21 and 289,559.12

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Solution

The fourth proportional to 493,504.74, 681,041.21 and 289,559.12 is: 399,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,504.74 : 681,041.21 = 289,559.12 : x
  2. Step 2: Convert to fraction form
    493,504.74/681,041.21 = 289,559.12/x
  3. Step 3: Cross multiply
    493,504.74x = 681,041.21 × 289,559.12
  4. Step 4: Simplify right side
    493,504.74x = 197,201,688,598.33
  5. Step 5: Solve for x
    x = 197,201,688,598.33/493,504.74
  6. Step 6: Final answer
    x = 399,594.32

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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.