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Finding the Fourth Proportional to 365,356.48, 548,345.76 and 143,896

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Solution

The fourth proportional to 365,356.48, 548,345.76 and 143,896 is: 215,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,356.48 : 548,345.76 = 143,896 : x
  2. Step 2: Convert to fraction form
    365,356.48/548,345.76 = 143,896/x
  3. Step 3: Cross multiply
    365,356.48x = 548,345.76 × 143,896
  4. Step 4: Simplify right side
    365,356.48x = 78,904,761,480.96
  5. Step 5: Solve for x
    x = 78,904,761,480.96/365,356.48
  6. Step 6: Final answer
    x = 215,966.50

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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.