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Finding the Fourth Proportional to 340,938.20, 511,407.30 and 278,730.20

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Solution

The fourth proportional to 340,938.20, 511,407.30 and 278,730.20 is: 418,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,938.20 : 511,407.30 = 278,730.20 : x
  2. Step 2: Convert to fraction form
    340,938.20/511,407.30 = 278,730.20/x
  3. Step 3: Cross multiply
    340,938.20x = 511,407.30 × 278,730.20
  4. Step 4: Simplify right side
    340,938.20x = 142,544,659,010.46
  5. Step 5: Solve for x
    x = 142,544,659,010.46/340,938.20
  6. Step 6: Final answer
    x = 418,095.30

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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.