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Finding the Fourth Proportional to 378,430.47, 567,633.35 and 153,724.41

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Solution

The fourth proportional to 378,430.47, 567,633.35 and 153,724.41 is: 230,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,430.47 : 567,633.35 = 153,724.41 : x
  2. Step 2: Convert to fraction form
    378,430.47/567,633.35 = 153,724.41/x
  3. Step 3: Cross multiply
    378,430.47x = 567,633.35 × 153,724.41
  4. Step 4: Simplify right side
    378,430.47x = 87,259,101,056.45
  5. Step 5: Solve for x
    x = 87,259,101,056.45/378,430.47
  6. Step 6: Final answer
    x = 230,581.59

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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.