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Finding the Fourth Proportional to 375,465.86, 518,144.73 and 205,700.06

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Solution

The fourth proportional to 375,465.86, 518,144.73 and 205,700.06 is: 283,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,465.86 : 518,144.73 = 205,700.06 : x
  2. Step 2: Convert to fraction form
    375,465.86/518,144.73 = 205,700.06/x
  3. Step 3: Cross multiply
    375,465.86x = 518,144.73 × 205,700.06
  4. Step 4: Simplify right side
    375,465.86x = 106,582,402,049.68
  5. Step 5: Solve for x
    x = 106,582,402,049.68/375,465.86
  6. Step 6: Final answer
    x = 283,867.09

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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.