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Finding the Fourth Proportional to 642,000.12, 963,146.10 and 342,322.68

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Solution

The fourth proportional to 642,000.12, 963,146.10 and 342,322.68 is: 513,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,000.12 : 963,146.10 = 342,322.68 : x
  2. Step 2: Convert to fraction form
    642,000.12/963,146.10 = 342,322.68/x
  3. Step 3: Cross multiply
    642,000.12x = 963,146.10 × 342,322.68
  4. Step 4: Simplify right side
    642,000.12x = 329,706,754,183.55
  5. Step 5: Solve for x
    x = 329,706,754,183.55/642,000.12
  6. Step 6: Final answer
    x = 513,561.83

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1.5x scale

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.