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Finding the Fourth Proportional to 538,365.71, 807,688.75 and 201,432.71

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Solution

The fourth proportional to 538,365.71, 807,688.75 and 201,432.71 is: 302,201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,365.71 : 807,688.75 = 201,432.71 : x
  2. Step 2: Convert to fraction form
    538,365.71/807,688.75 = 201,432.71/x
  3. Step 3: Cross multiply
    538,365.71x = 807,688.75 × 201,432.71
  4. Step 4: Simplify right side
    538,365.71x = 162,694,935,264.65
  5. Step 5: Solve for x
    x = 162,694,935,264.65/538,365.71
  6. Step 6: Final answer
    x = 302,201.52

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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.