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Finding the Fourth Proportional to 315,784.48, 435,787.68 and 188,534.56

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Solution

The fourth proportional to 315,784.48, 435,787.68 and 188,534.56 is: 260,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,784.48 : 435,787.68 = 188,534.56 : x
  2. Step 2: Convert to fraction form
    315,784.48/435,787.68 = 188,534.56/x
  3. Step 3: Cross multiply
    315,784.48x = 435,787.68 × 188,534.56
  4. Step 4: Simplify right side
    315,784.48x = 82,161,038,502.22
  5. Step 5: Solve for x
    x = 82,161,038,502.22/315,784.48
  6. Step 6: Final answer
    x = 260,180.74

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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.