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Finding the Fourth Proportional to 505,875.28, 698,109.75 and 276,432.60

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Solution

The fourth proportional to 505,875.28, 698,109.75 and 276,432.60 is: 381,478.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,875.28 : 698,109.75 = 276,432.60 : x
  2. Step 2: Convert to fraction form
    505,875.28/698,109.75 = 276,432.60/x
  3. Step 3: Cross multiply
    505,875.28x = 698,109.75 × 276,432.60
  4. Step 4: Simplify right side
    505,875.28x = 192,980,296,678.17
  5. Step 5: Solve for x
    x = 192,980,296,678.17/505,875.28
  6. Step 6: Final answer
    x = 381,478.01

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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.