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Finding the Fourth Proportional to 340,852.40, 511,278.60 and 257,908.40

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Solution

The fourth proportional to 340,852.40, 511,278.60 and 257,908.40 is: 386,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,852.40 : 511,278.60 = 257,908.40 : x
  2. Step 2: Convert to fraction form
    340,852.40/511,278.60 = 257,908.40/x
  3. Step 3: Cross multiply
    340,852.40x = 511,278.60 × 257,908.40
  4. Step 4: Simplify right side
    340,852.40x = 131,863,045,680.24
  5. Step 5: Solve for x
    x = 131,863,045,680.24/340,852.40
  6. Step 6: Final answer
    x = 386,862.60

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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.