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Finding the Fourth Proportional to 461,130.82, 691,678.95 and 145,606.66

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Solution

The fourth proportional to 461,130.82, 691,678.95 and 145,606.66 is: 218,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,130.82 : 691,678.95 = 145,606.66 : x
  2. Step 2: Convert to fraction form
    461,130.82/691,678.95 = 145,606.66/x
  3. Step 3: Cross multiply
    461,130.82x = 691,678.95 × 145,606.66
  4. Step 4: Simplify right side
    461,130.82x = 100,713,061,701.81
  5. Step 5: Solve for x
    x = 100,713,061,701.81/461,130.82
  6. Step 6: Final answer
    x = 218,404.53

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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.