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Finding the Fourth Proportional to 417,029.24, 575,043.90 and 309,798.20

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Solution

The fourth proportional to 417,029.24, 575,043.90 and 309,798.20 is: 427,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,029.24 : 575,043.90 = 309,798.20 : x
  2. Step 2: Convert to fraction form
    417,029.24/575,043.90 = 309,798.20/x
  3. Step 3: Cross multiply
    417,029.24x = 575,043.90 × 309,798.20
  4. Step 4: Simplify right side
    417,029.24x = 178,147,565,140.98
  5. Step 5: Solve for x
    x = 178,147,565,140.98/417,029.24
  6. Step 6: Final answer
    x = 427,182.43

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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.