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Finding the Fourth Proportional to 431,111.66, 645,563.34 and 359,857.12

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Solution

The fourth proportional to 431,111.66, 645,563.34 and 359,857.12 is: 538,864.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,111.66 : 645,563.34 = 359,857.12 : x
  2. Step 2: Convert to fraction form
    431,111.66/645,563.34 = 359,857.12/x
  3. Step 3: Cross multiply
    431,111.66x = 645,563.34 × 359,857.12
  4. Step 4: Simplify right side
    431,111.66x = 232,310,564,309.98
  5. Step 5: Solve for x
    x = 232,310,564,309.98/431,111.66
  6. Step 6: Final answer
    x = 538,864.02

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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.