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Finding the Fourth Proportional to 647,620.32, 894,413.08 and 493,009.12

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Solution

The fourth proportional to 647,620.32, 894,413.08 and 493,009.12 is: 680,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,620.32 : 894,413.08 = 493,009.12 : x
  2. Step 2: Convert to fraction form
    647,620.32/894,413.08 = 493,009.12/x
  3. Step 3: Cross multiply
    647,620.32x = 894,413.08 × 493,009.12
  4. Step 4: Simplify right side
    647,620.32x = 440,953,805,487.29
  5. Step 5: Solve for x
    x = 440,953,805,487.29/647,620.32
  6. Step 6: Final answer
    x = 680,883.21

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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.