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Finding the Fourth Proportional to 865,238.81, 1,194,022.53 and 478,053

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Solution

The fourth proportional to 865,238.81, 1,194,022.53 and 478,053 is: 659,709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,238.81 : 1,194,022.53 = 478,053 : x
  2. Step 2: Convert to fraction form
    865,238.81/1,194,022.53 = 478,053/x
  3. Step 3: Cross multiply
    865,238.81x = 1,194,022.53 × 478,053
  4. Step 4: Simplify right side
    865,238.81x = 570,806,052,534.09
  5. Step 5: Solve for x
    x = 570,806,052,534.09/865,238.81
  6. Step 6: Final answer
    x = 659,709.26

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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.