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Finding the Fourth Proportional to 417,395.93, 575,651.15 and 320,833.80

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Solution

The fourth proportional to 417,395.93, 575,651.15 and 320,833.80 is: 442,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,395.93 : 575,651.15 = 320,833.80 : x
  2. Step 2: Convert to fraction form
    417,395.93/575,651.15 = 320,833.80/x
  3. Step 3: Cross multiply
    417,395.93x = 575,651.15 × 320,833.80
  4. Step 4: Simplify right side
    417,395.93x = 184,688,344,324.70
  5. Step 5: Solve for x
    x = 184,688,344,324.70/417,395.93
  6. Step 6: Final answer
    x = 442,477.59

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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.