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Finding the Fourth Proportional to 431,108.66, 645,558.84 and 359,854.12

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Solution

The fourth proportional to 431,108.66, 645,558.84 and 359,854.12 is: 538,859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,108.66 : 645,558.84 = 359,854.12 : x
  2. Step 2: Convert to fraction form
    431,108.66/645,558.84 = 359,854.12/x
  3. Step 3: Cross multiply
    431,108.66x = 645,558.84 × 359,854.12
  4. Step 4: Simplify right side
    431,108.66x = 232,307,008,276.42
  5. Step 5: Solve for x
    x = 232,307,008,276.42/431,108.66
  6. Step 6: Final answer
    x = 538,859.53

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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.