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Finding the Fourth Proportional to 511,908.83, 706,689.95 and 318,378.92

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Solution

The fourth proportional to 511,908.83, 706,689.95 and 318,378.92 is: 439,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,908.83 : 706,689.95 = 318,378.92 : x
  2. Step 2: Convert to fraction form
    511,908.83/706,689.95 = 318,378.92/x
  3. Step 3: Cross multiply
    511,908.83x = 706,689.95 × 318,378.92
  4. Step 4: Simplify right side
    511,908.83x = 224,995,183,230.68
  5. Step 5: Solve for x
    x = 224,995,183,230.68/511,908.83
  6. Step 6: Final answer
    x = 439,521.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.