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Finding the Fourth Proportional to 393,342.94, 589,567.89 and 345,866.14

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Solution

The fourth proportional to 393,342.94, 589,567.89 and 345,866.14 is: 518,406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,342.94 : 589,567.89 = 345,866.14 : x
  2. Step 2: Convert to fraction form
    393,342.94/589,567.89 = 345,866.14/x
  3. Step 3: Cross multiply
    393,342.94x = 589,567.89 × 345,866.14
  4. Step 4: Simplify right side
    393,342.94x = 203,911,567,434.41
  5. Step 5: Solve for x
    x = 203,911,567,434.41/393,342.94
  6. Step 6: Final answer
    x = 518,406.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.