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Finding the Fourth Proportional to 338,359.32, 507,784.82 and 272,593.80

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Solution

The fourth proportional to 338,359.32, 507,784.82 and 272,593.80 is: 409,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,359.32 : 507,784.82 = 272,593.80 : x
  2. Step 2: Convert to fraction form
    338,359.32/507,784.82 = 272,593.80/x
  3. Step 3: Cross multiply
    338,359.32x = 507,784.82 × 272,593.80
  4. Step 4: Simplify right side
    338,359.32x = 138,418,992,303.15
  5. Step 5: Solve for x
    x = 138,418,992,303.15/338,359.32
  6. Step 6: Final answer
    x = 409,088.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.