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Finding the Fourth Proportional to 832,611, 1,149,001.02 and 450,637.68

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Solution

The fourth proportional to 832,611, 1,149,001.02 and 450,637.68 is: 621,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,611 : 1,149,001.02 = 450,637.68 : x
  2. Step 2: Convert to fraction form
    832,611/1,149,001.02 = 450,637.68/x
  3. Step 3: Cross multiply
    832,611x = 1,149,001.02 × 450,637.68
  4. Step 4: Simplify right side
    832,611x = 517,783,153,970.43
  5. Step 5: Solve for x
    x = 517,783,153,970.43/832,611
  6. Step 6: Final answer
    x = 621,878.83

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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.