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Finding the Fourth Proportional to 646,133.91, 891,649.40 and 359,647.85

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Solution

The fourth proportional to 646,133.91, 891,649.40 and 359,647.85 is: 496,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,133.91 : 891,649.40 = 359,647.85 : x
  2. Step 2: Convert to fraction form
    646,133.91/891,649.40 = 359,647.85/x
  3. Step 3: Cross multiply
    646,133.91x = 891,649.40 × 359,647.85
  4. Step 4: Simplify right side
    646,133.91x = 320,679,783,407.30
  5. Step 5: Solve for x
    x = 320,679,783,407.30/646,133.91
  6. Step 6: Final answer
    x = 496,305.45

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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.