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Finding the Fourth Proportional to 314,502.71, 434,009.44 and 178,535.46

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Solution

The fourth proportional to 314,502.71, 434,009.44 and 178,535.46 is: 246,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,502.71 : 434,009.44 = 178,535.46 : x
  2. Step 2: Convert to fraction form
    314,502.71/434,009.44 = 178,535.46/x
  3. Step 3: Cross multiply
    314,502.71x = 434,009.44 × 178,535.46
  4. Step 4: Simplify right side
    314,502.71x = 77,486,074,568.40
  5. Step 5: Solve for x
    x = 77,486,074,568.40/314,502.71
  6. Step 6: Final answer
    x = 246,376.50

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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.