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Finding the Fourth Proportional to 645,805.80, 968,271.30 and 342,250.20

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Solution

The fourth proportional to 645,805.80, 968,271.30 and 342,250.20 is: 513,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,805.80 : 968,271.30 = 342,250.20 : x
  2. Step 2: Convert to fraction form
    645,805.80/968,271.30 = 342,250.20/x
  3. Step 3: Cross multiply
    645,805.80x = 968,271.30 × 342,250.20
  4. Step 4: Simplify right side
    645,805.80x = 331,391,046,079.26
  5. Step 5: Solve for x
    x = 331,391,046,079.26/645,805.80
  6. Step 6: Final answer
    x = 513,143.50

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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.