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Finding the Fourth Proportional to 340,254, 510,209.40 and 198,145.20

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Solution

The fourth proportional to 340,254, 510,209.40 and 198,145.20 is: 297,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,254 : 510,209.40 = 198,145.20 : x
  2. Step 2: Convert to fraction form
    340,254/510,209.40 = 198,145.20/x
  3. Step 3: Cross multiply
    340,254x = 510,209.40 × 198,145.20
  4. Step 4: Simplify right side
    340,254x = 101,095,543,604.88
  5. Step 5: Solve for x
    x = 101,095,543,604.88/340,254
  6. Step 6: Final answer
    x = 297,117.87

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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.