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Finding the Fourth Proportional to 507,707.88, 761,313.01 and 208,106.97

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Solution

The fourth proportional to 507,707.88, 761,313.01 and 208,106.97 is: 312,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,707.88 : 761,313.01 = 208,106.97 : x
  2. Step 2: Convert to fraction form
    507,707.88/761,313.01 = 208,106.97/x
  3. Step 3: Cross multiply
    507,707.88x = 761,313.01 × 208,106.97
  4. Step 4: Simplify right side
    507,707.88x = 158,434,543,732.68
  5. Step 5: Solve for x
    x = 158,434,543,732.68/507,707.88
  6. Step 6: Final answer
    x = 312,058.47

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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.