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Finding the Fourth Proportional to 646,010.56, 891,494.58 and 359,598.31

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Solution

The fourth proportional to 646,010.56, 891,494.58 and 359,598.31 is: 496,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,010.56 : 891,494.58 = 359,598.31 : x
  2. Step 2: Convert to fraction form
    646,010.56/891,494.58 = 359,598.31/x
  3. Step 3: Cross multiply
    646,010.56x = 891,494.58 × 359,598.31
  4. Step 4: Simplify right side
    646,010.56x = 320,579,941,214.43
  5. Step 5: Solve for x
    x = 320,579,941,214.43/646,010.56
  6. Step 6: Final answer
    x = 496,245.67

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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.