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Finding the Fourth Proportional to 508,412.16, 761,892.48 and 259,269.12

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Solution

The fourth proportional to 508,412.16, 761,892.48 and 259,269.12 is: 388,533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,412.16 : 761,892.48 = 259,269.12 : x
  2. Step 2: Convert to fraction form
    508,412.16/761,892.48 = 259,269.12/x
  3. Step 3: Cross multiply
    508,412.16x = 761,892.48 × 259,269.12
  4. Step 4: Simplify right side
    508,412.16x = 197,535,192,824.22
  5. Step 5: Solve for x
    x = 197,535,192,824.22/508,412.16
  6. Step 6: Final answer
    x = 388,533.57

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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.