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Finding the Fourth Proportional to 646,231.77, 891,830.96 and 359,751.78

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Solution

The fourth proportional to 646,231.77, 891,830.96 and 359,751.78 is: 496,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,231.77 : 891,830.96 = 359,751.78 : x
  2. Step 2: Convert to fraction form
    646,231.77/891,830.96 = 359,751.78/x
  3. Step 3: Cross multiply
    646,231.77x = 891,830.96 × 359,751.78
  4. Step 4: Simplify right side
    646,231.77x = 320,837,774,869.42
  5. Step 5: Solve for x
    x = 320,837,774,869.42/646,231.77
  6. Step 6: Final answer
    x = 496,474.78

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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.