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Finding the Fourth Proportional to 511,642.50, 706,343.47 and 307,738.94

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Solution

The fourth proportional to 511,642.50, 706,343.47 and 307,738.94 is: 424,846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,642.50 : 706,343.47 = 307,738.94 : x
  2. Step 2: Convert to fraction form
    511,642.50/706,343.47 = 307,738.94/x
  3. Step 3: Cross multiply
    511,642.50x = 706,343.47 × 307,738.94
  4. Step 4: Simplify right side
    511,642.50x = 217,369,390,733.72
  5. Step 5: Solve for x
    x = 217,369,390,733.72/511,642.50
  6. Step 6: Final answer
    x = 424,846.24

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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.