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Finding the Fourth Proportional to 510,009.24, 703,790.51 and 280,551.98

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Solution

The fourth proportional to 510,009.24, 703,790.51 and 280,551.98 is: 387,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,009.24 : 703,790.51 = 280,551.98 : x
  2. Step 2: Convert to fraction form
    510,009.24/703,790.51 = 280,551.98/x
  3. Step 3: Cross multiply
    510,009.24x = 703,790.51 × 280,551.98
  4. Step 4: Simplify right side
    510,009.24x = 197,449,816,164.00
  5. Step 5: Solve for x
    x = 197,449,816,164.00/510,009.24
  6. Step 6: Final answer
    x = 387,149.49

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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.