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Finding the Fourth Proportional to 315,023.42, 434,716.53 and 179,039.40

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Solution

The fourth proportional to 315,023.42, 434,716.53 and 179,039.40 is: 247,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,023.42 : 434,716.53 = 179,039.40 : x
  2. Step 2: Convert to fraction form
    315,023.42/434,716.53 = 179,039.40/x
  3. Step 3: Cross multiply
    315,023.42x = 434,716.53 × 179,039.40
  4. Step 4: Simplify right side
    315,023.42x = 77,831,386,701.28
  5. Step 5: Solve for x
    x = 77,831,386,701.28/315,023.42
  6. Step 6: Final answer
    x = 247,065.40

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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.