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Finding the Fourth Proportional to 433,618.68, 650,428.02 and 285,840.12

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Solution

The fourth proportional to 433,618.68, 650,428.02 and 285,840.12 is: 428,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,618.68 : 650,428.02 = 285,840.12 : x
  2. Step 2: Convert to fraction form
    433,618.68/650,428.02 = 285,840.12/x
  3. Step 3: Cross multiply
    433,618.68x = 650,428.02 × 285,840.12
  4. Step 4: Simplify right side
    433,618.68x = 185,918,423,288.16
  5. Step 5: Solve for x
    x = 185,918,423,288.16/433,618.68
  6. Step 6: Final answer
    x = 428,760.18

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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.