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Finding the Fourth Proportional to 509,721.06, 703,430.37 and 280,266.48

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Solution

The fourth proportional to 509,721.06, 703,430.37 and 280,266.48 is: 386,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,721.06 : 703,430.37 = 280,266.48 : x
  2. Step 2: Convert to fraction form
    509,721.06/703,430.37 = 280,266.48/x
  3. Step 3: Cross multiply
    509,721.06x = 703,430.37 × 280,266.48
  4. Step 4: Simplify right side
    509,721.06x = 197,147,953,725.00
  5. Step 5: Solve for x
    x = 197,147,953,725.00/509,721.06
  6. Step 6: Final answer
    x = 386,776.16

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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.