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Finding the Fourth Proportional to 713,980.42, 1,069,512.63 and 398,605.30

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Solution

The fourth proportional to 713,980.42, 1,069,512.63 and 398,605.30 is: 597,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,980.42 : 1,069,512.63 = 398,605.30 : x
  2. Step 2: Convert to fraction form
    713,980.42/1,069,512.63 = 398,605.30/x
  3. Step 3: Cross multiply
    713,980.42x = 1,069,512.63 × 398,605.30
  4. Step 4: Simplify right side
    713,980.42x = 426,313,402,734.94
  5. Step 5: Solve for x
    x = 426,313,402,734.94/713,980.42
  6. Step 6: Final answer
    x = 597,093.97

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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.