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Finding the Fourth Proportional to 508,426.47, 701,628.75 and 282,071.97

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Solution

The fourth proportional to 508,426.47, 701,628.75 and 282,071.97 is: 389,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,426.47 : 701,628.75 = 282,071.97 : x
  2. Step 2: Convert to fraction form
    508,426.47/701,628.75 = 282,071.97/x
  3. Step 3: Cross multiply
    508,426.47x = 701,628.75 × 282,071.97
  4. Step 4: Simplify right side
    508,426.47x = 197,909,803,721.14
  5. Step 5: Solve for x
    x = 197,909,803,721.14/508,426.47
  6. Step 6: Final answer
    x = 389,259.44

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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.