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Finding the Fourth Proportional to 680,090.64, 938,509.92 and 393,604.98

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Solution

The fourth proportional to 680,090.64, 938,509.92 and 393,604.98 is: 543,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,090.64 : 938,509.92 = 393,604.98 : x
  2. Step 2: Convert to fraction form
    680,090.64/938,509.92 = 393,604.98/x
  3. Step 3: Cross multiply
    680,090.64x = 938,509.92 × 393,604.98
  4. Step 4: Simplify right side
    680,090.64x = 369,402,178,291.40
  5. Step 5: Solve for x
    x = 369,402,178,291.40/680,090.64
  6. Step 6: Final answer
    x = 543,166.10

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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.