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Finding the Fourth Proportional to 340,013.80, 510,020.70 and 320,660.20

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Solution

The fourth proportional to 340,013.80, 510,020.70 and 320,660.20 is: 480,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,013.80 : 510,020.70 = 320,660.20 : x
  2. Step 2: Convert to fraction form
    340,013.80/510,020.70 = 320,660.20/x
  3. Step 3: Cross multiply
    340,013.80x = 510,020.70 × 320,660.20
  4. Step 4: Simplify right side
    340,013.80x = 163,543,339,666.14
  5. Step 5: Solve for x
    x = 163,543,339,666.14/340,013.80
  6. Step 6: Final answer
    x = 480,990.30

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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.