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Finding the Fourth Proportional to 856,875.78, 1,182,443 and 494,277.98

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Solution

The fourth proportional to 856,875.78, 1,182,443 and 494,277.98 is: 682,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,875.78 : 1,182,443 = 494,277.98 : x
  2. Step 2: Convert to fraction form
    856,875.78/1,182,443 = 494,277.98/x
  3. Step 3: Cross multiply
    856,875.78x = 1,182,443 × 494,277.98
  4. Step 4: Simplify right side
    856,875.78x = 584,455,537,505.14
  5. Step 5: Solve for x
    x = 584,455,537,505.14/856,875.78
  6. Step 6: Final answer
    x = 682,077.32

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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.