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Finding the Fourth Proportional to 315,051.48, 434,693.88 and 202,027.32

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Solution

The fourth proportional to 315,051.48, 434,693.88 and 202,027.32 is: 278,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,051.48 : 434,693.88 = 202,027.32 : x
  2. Step 2: Convert to fraction form
    315,051.48/434,693.88 = 202,027.32/x
  3. Step 3: Cross multiply
    315,051.48x = 434,693.88 × 202,027.32
  4. Step 4: Simplify right side
    315,051.48x = 87,820,039,596.80
  5. Step 5: Solve for x
    x = 87,820,039,596.80/315,051.48
  6. Step 6: Final answer
    x = 278,748.22

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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.