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Finding the Fourth Proportional to 511,633.38, 706,330.88 and 307,729.82

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Solution

The fourth proportional to 511,633.38, 706,330.88 and 307,729.82 is: 424,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,633.38 : 706,330.88 = 307,729.82 : x
  2. Step 2: Convert to fraction form
    511,633.38/706,330.88 = 307,729.82/x
  3. Step 3: Cross multiply
    511,633.38x = 706,330.88 × 307,729.82
  4. Step 4: Simplify right side
    511,633.38x = 217,359,069,492.54
  5. Step 5: Solve for x
    x = 217,359,069,492.54/511,633.38
  6. Step 6: Final answer
    x = 424,833.64

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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.